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FUNCTIONAL ANALYSIS
Available
Convexity and Optimization in Banach Spaces
Convexity And Optimization In
Banach Spaces
    In a revised edition,
    this book presents basic
    results of the theory of
    convex sets and functions
    in infinite-dimensional
    spaces. Includes new
    results on advanced
    concepts of
    subdifferential for
    convex functions and new
    duality results in convex
    programming.
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£71.96
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Sobolev Spaces
Sobolev Spaces
    Now enhanced by numerous
    recent results, this
    expanded and revised
    second edition covers the
    basics on Sobolev spaces
    and their role in modern
    analysis. Five new
    chapters and the
    augmented list of
    references create a
    broader contemporary view
    of the field.
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£99.45
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Sobolev Inequalities, Heat Kernels Under Ricci Flow, and the Poincare Conjecture
Sobolev Inequalities, Heat
Kernels Under Ricci Flow, And
The Poincare Conjecture
    Focusing on Sobolev
    inequalities and their
    applications to analysis
    on manifolds and Ricci
    flow, this title
    introduces the field of
    analysis on Riemann
    manifolds and uses the
    tools of Sobolev
    imbedding and heat kernel
    estimates to study Ricci
    flows, especially with
    surgeries.
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£44.99
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Shearlets
Shearlets
    This volume surveys the
    theory and applications
    of shearlets. It serves
    as a unique
    state-of-the-art resource
    for scientists interested
    in advanced multiscale
    methods as well as a
    supplemental textbook for
    graduate courses in
    applied harmonic
    analysis.
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£72.90
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Introduction to Hilbert Spaces with Applications
Introduction To Hilbert Spaces
With Applications
    Offering an overview of
    the basic ideas and
    results of Hilbert space
    theory and functional
    analysis, this book aims
    to acquaint students with
    the Lebesgue integral. It
    also includes a
    presentation of results
    and proofs. It features
    examples which apply to
    optimization,
    variational and control
    problems, and problems
    in approximation theory.
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£59.76
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An Introduction to Wavelet Analysis
An Introduction To Wavelet
Analysis
    Provides a comprehensive
    presentation of the
    conceptual basis of
    wavelet analysis,
    including the
    construction and analysis
    of wavelet bases. This
    book motivates the
    central ideas of wavelet
    theory by offering a
    detailed exposition of
    the Haar series, then
    shows how a abstract
    approach allows readers
    to generalize and improve
    upon the Haar series.
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£39.59
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Applications of Functional Analysis and Operator Theory
Applications Of Functional
Analysis And Operator Theory
    Functional analysis is a
    powerful tool when
    applied to mathematical
    problems arising from
    physical situations. This
    book presents the reader
    with a keen understanding
    of applied functional
    analysis, building
    progressively from simple
    background material to
    the deepest and most
    significant results.
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£120.00
Available
Functional Analysis, Sobolev Spaces and Partial Differential Equations
Functional Analysis, Sobolev
Spaces And Partial
Differential Equations
    This is a completely
    revised English edition
    of the important Analyse
    fonctionnelle (1983). It
    contains a wealth of
    problems and exercises to
    guide the reader. It is
    also the first
    single-volume textbook to
    cover related fields of
    functional analysis and
    PDEs.
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£42.49
Available
Integral and Functional Analysis
Integral And Functional
Analysis
    Based on Integration and
    Metric Spaces and
    Functional Analysis,
    this book is useful for
    undergraduate students.
    This book assumes that
    the students have some
    familiarity with
    Introductory Calculus and
    Linear Algebra as well as
    the basic (direct,
    indirect) proof methods.
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£32.79
Available
Functional Equations, Difference Inequalities and ULAM Stability Notions (F.U.N.)
Functional Equations,
Difference Inequalities And
ULAM Stability Notions
(F.U.N.)
    A forum for exchanging
    ideas among eminent
    mathematicians and
    physicists, from many
    parts of the world, as a
    tribute to the first
    centennial birthday
    anniversary of Stanislaw
    Marcin ULAM. It includes
    contributions in
    mathematical and physical
    equations and
    inequalities and other
    fields of mathematical
    and physical sciences.
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£49.17
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Classical Geometries in Modern Contexts
Classical Geometries In Modern
Contexts
    Based on real inner
    product spaces X of
    arbitrary (finite or
    infinite) dimension
    greater than or equal to
    2, this book includes
    proofs of newer theorems,
    characterizing
    isometries and Lorentz
    transformations under
    mild hypotheses, like
    for instance infinite
    dimensional versions of
    famous theorems of A D
    Alexandrov on Lorentz
    transformations.
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£61.20
Available
Functional Analysis
Functional Analysis
    * Written in a simple and
    lucid language and
    illustrated with familiar
    examples for easy
    comprehension of the
    subject. * Provides a
    unifying framework for
    many areas of
    mathematics. *
    Theoretical portions are
    introduced by citing
    various examples. *
    Provides hints for
    solving the problems.
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£27.00
Available
Discrete Fourier Analysis
Discrete Fourier Analysis
    Presenting the basic
    notions and techniques of
    Fourier analysis in
    discrete settings, this
    book opens up what is a
    key area of mathematics
    research to a much wider
    readership and covers the
    finite Fourier transform
    as well as Hilbert spaces
    and Fourier series.
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£30.59
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Positive Definite Matrices
Positive Definite Matrices
    Represents the synthesis
    of research into positive
    definite matrices. This
    book gives techniques
    that have applications in
    the study of such
    matrices. It introduces
    several key topics in
    functional analysis,
    operator theory,
    harmonic analysis, and
    differential geometry -
    all built around the
    central theme of positive
    definite matrices.
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£32.76
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Theories of Generalised Functions
Theories Of Generalised
Functions
    Explaining and comparing
    the various standard
    types of generalised
    functions which have been
    developed during the 20th
    Century, this text also
    contains accounts of
    recent non-standard
    theories of
    distributions,
    ultradistributions and
    Stato-hyperfunctions.
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£45.00
Available
The Dynamical Yang-Baxter Equation, Representation Theory, and Quantum Integrable Systems
The Dynamical Yang-Baxter
Equation, Representation
Theory, And Quantum Integrable
Systems
    Based on an established
    graduate course given at
    MIT that provides an
    introduction to the
    theory of the dynamical
    Yang-Baxter equation and
    its applications, which
    is an important area in
    representation theory and
    quantum groups. This book
    contains proofs and
    explicit calculations,
    and is useful for
    graduate students of
    mathematics.
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£30.15
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Nonlinear Functional Analysis & Applications
Nonlinear Functional Analysis
& Applications
    Reviews topics in areas
    of fixed point theory,
    convex and set-valued
    analysis, variational
    inequality and
    complementarity problem
    theory, non-linear
    ergodic theory,
    difference, differential
    and integral equations,
    control and optimisation
    theory, dynamic system
    theory, stochastic
    analysis and probability
    theory, and their
    applications.
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£5.22
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Nonlinear Functional Analysis & Applications
Nonlinear Functional Analysis
& Applications
    Reviews topics in the
    areas of fixed point
    theory, convex and
    set-valued analysis,
    variational inequality
    and complementarity
    problem theory,
    non-linear ergodic
    theory, difference,
    differential and integral
    equations, control and
    optimisation theory,
    dynamic system theory,
    stochastic analysis and
    probability theory, and
    their applications.
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£56.09
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Nonlinear PDE
Nonlinear PDE's And
Applications
    Collects the notes of the
    CIME course Nonlinear
    PDE's and applications
    held in Cetraro (Italy)
    on June 23-28, 2008.
    This book explores the
    fundamental connections
    between topics such as
    optimal transport,
    Hamilton-Jacobi
    equations, Riemannian
    geometry, and more.
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£36.89
Available
Nonnegative Matrices, Positive Operators, and Applications
Nonnegative Matrices, Positive
Operators, And Applications
    Nonnegative matrices and
    positive operators are
    widely applied in
    science, engineering,
    and technology. This book
    provides the basic theory
    and several typical
    modern science and
    engineering applications
    of nonnegative matrices
    and positive operators,
    including the fundamental
    theory, methods and
    numerical analysis.
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£47.70
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Recent Advances in Operator Theory and Applications
Recent Advances In Operator
Theory And Applications
    Contains the proceedings
    of the International
    Workshop on Operator
    Theory and Applications
    (IWOTA 2006) held at
    Seoul National
    University, Seoul,
    Korea, from July 31 to
    August 3, 2006. This
    volume contains sixteen
    research papers which
    reflect developments in
    operator theory and
    applications.
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£90.95
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Nonstandard Methods in Functional Analysis
Nonstandard Methods In
Functional Analysis
    In the early 1960s, by
    using techniques from the
    model theory of
    first-order logic,
    Robinson gave a rigorous
    formulation and extension
    of Leibniz' infinitesimal
    calculus. This title
    presents a self-contained
    treatment of functional
    analysis using methods
    from nonstandard
    analysis.
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£59.40
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Norm Derivatives and Characterizations of Inner Product Spaces
Norm Derivatives And
Characterizations Of Inner
Product Spaces
    Offers an overview of the
    characterizations of real
    normed spaces as inner
    product spaces based on
    norm derivatives and
    generalizations of the
    most basic geometrical
    properties of triangles
    in normed spaces. This
    book presents various
    methods of characterizing
    inner product spaces by
    means of norm
    derivatives.
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£43.35
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Measure of Non-Compactness for Integral Operators in Weighted Lebesgue Spaces
Measure Of Non-Compactness For
Integral Operators In Weighted
Lebesgue Spaces
    Deals with the measure of
    non-compactness
    (essential norm) in
    weighted Lebesgue spaces
    for maximal, potential
    and singular operators
    dened, generally
    speaking, on homogeneous
    groups. This book
    presents an analysis of a
    class of specific
    integral operators from
    the
    boundedness/compactness
    or non-compactness point
    of view.
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£96.79
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Advances in Inequalities of the Schwarz, Gruss and Bessel Type in Inner Product Spaces
Advances In Inequalities Of
The Schwarz, Gruss And Bessel
Type In Inner Product Spaces
    The theory of Hilbert
    spaces plays a central
    role in contemporary
    mathematics with numerous
    applications for Linear
    Operators, Partial
    Differential Equations,
    in Nonlinear Analysis,
    Approximation Theory,
    Optimisation Theory,
    Numerical Analysis,
    Probability Theory,
    Statistics and other
    fields.
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£119.99
Available
Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces
Frechet Differentiability Of
Lipschitz Functions And Porous
Sets In Banach Spaces
    Makes an inroad into the
    unexpectedly difficult
    question of existence of
    Frchet derivatives of
    Lipschitz maps of Banach
    spaces into higher
    dimensional spaces. This
    book opens several
    research directions in
    this area of geometric
    nonlinear functional
    analysis.
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£44.20
Available
Characteristic Functions, Scattering Functions and Transfer Functions
Characteristic Functions,
Scattering Functions And
Transfer Functions
    Transfer functions and
    characteristic functions
    proved to be key in
    operator theory and
    system theory. Moshe
    Livic played a major role
    in developing these
    functions, and this book
    of papers dedicated to
    his memory covers a wide
    variety of topics in the
    field.
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£98.60
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Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces
Frechet Differentiability Of
Lipschitz Functions And Porous
Sets In Banach Spaces
    Makes an inroad into the
    unexpectedly difficult
    question of existence of
    Frchet derivatives of
    Lipschitz maps of Banach
    spaces into higher
    dimensional spaces. This
    book opens several
    research directions in
    this area of geometric
    nonlinear functional
    analysis.
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£97.75
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The Real Numbers and Real Analysis
The Real Numbers And Real
Analysis
    This rigorous, detailed
    introduction to real
    analysis presents the
    fundamentals clearly and
    includes definitions,
    theorems and proofs.
    Mirroring the structure
    of standard calculus
    courses makes it
    especially accessible to
    university students of
    mathematics.
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£50.14
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ELEMENTARY FUNCTIONAL ANALYSIS
ELEMENTARY FUNCTIONAL ANALYSIS
    Presents an introduction
    to functional analysis
    which requires readers to
    have a minimal background
    in linear algebra and
    real analysis. This book
    explores the development
    of the basic properties
    of normed linear, inner
    product spaces and
    continuous linear
    operators defined in
    these spaces.
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£26.35
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An Introduction to Banach Space Theory
An Introduction To Banach
Space Theory
    An introduction to the
    general theory of Banach
    spaces, designed to
    prepare the reader with a
    background in functional
    analysis that can enable
    him or her to tackle more
    advanced literature in
    the subject. It includes
    examples, historical
    notes, and citations,
    as well as nearly five
    hundred exercises.
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£49.99
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Algebraic Multiplicity of Eigenvalues of Linear Operators
Algebraic Multiplicity Of
Eigenvalues Of Linear
Operators
    Presents the results
    about the theory of
    algebraic multiplicities,
    from the most classic
    results, like the Jordan
    Theorem, to various
    developments, like the
    uniqueness theorem and
    the construction of the
    multiplicity for
    non-analytic families.
    This book is suitable for
    students at the advanced
    undergraduate or
    beginning graduate level.
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£57.00
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Heat Kernels and Dirac Operators
Heat Kernels And Dirac
Operators
    Presents simple proofs of
    the Atiyah-Singer Index
    Theorem for Dirac
    operators on compact
    Riemannian manifolds and
    its generalizations. This
    book discusses the
    applications of linear
    elliptic operators in
    differential geometry,
    the equivariant index
    theorem, and provides a
    proof of Bismut's Local
    Family Index Theorem for
    Dirac operators.
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£35.99
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Duration and Bandwidth Limiting
Duration And Bandwidth
Limiting
    This book provides a
    thorough investigation of
    the theory and
    applications of time and
    band limiting, and
    develops the tools for
    applications in
    communications
    engineering, as well as
    optical engineering,
    geosciences, planetary
    sciences, and
    biomedicine.
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£64.80
Available
Applied Dimensional Analysis and Modeling
Applied Dimensional Analysis
And Modeling
    Provides the mathematical
    background and
    step-by-step procedures
    for employing dimensional
    analyses. This work
    covers 4 essential
    aspects and applications
    which include: principal
    characteristics of
    dimensional systems;
    applications of
    dimensional techniques in
    engineering, mathematics
    and geometry; and
    applications in astronomy
    and physics.
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£78.30
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A Guide to Distribution Theory and Fourier Transforms
A Guide To Distribution Theory
And Fourier Transforms
    Providing a concise
    exposition of the basic
    ideas of the theory of
    distribution and Fourier
    transforms and its
    application to partial
    differential equations,
    this book clearly
    presents the ideas,
    precise statements of
    theorems, and
    explanations of ideas
    behind the proofs.
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£28.05
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Applied Functional Analysis
Applied Functional Analysis
    The methods of functional
    analysis have helped
    solve diverse real-world
    problems in optimisation,
    modelling, analysis,
    numerical approximation
    and computer simulation.
    This book introduces the
    results in wavelet and
    Gabor analysis as applied
    in partial differential
    equations and signal and
    image processing.
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£45.00
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Elements of Abstract Analysis
Elements Of Abstract Analysis
    A comprehensive overview
    of functional analysis,
    this text reviews the
    concepts at a slightly
    greater level of
    abstraction, enabling
    students to understand
    their place within the
    broad framework of
    set-based mathematics.
    Exercises and examples
    are also presented.
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£16.11
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Operator Inequalities of Ostrowski and Trapezoidal Type
Operator Inequalities Of
Ostrowski And Trapezoidal Type
    Presents recent results
    concerning Ostrowski and
    Trapezoidal type
    inequalities for
    continuous functions of
    bounded self-adjoint
    operators on complex
    Hilbert spaces.
    Applications for
    mid-point inequalities
    and some elementary
    functions of operators as
    also provided.
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£40.49
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A Glimpse at Hilbert Space Operators
A Glimpse At Hilbert Space
Operators
    The mathematician Paul R
    Halmos (1916-2006)
    contributed passionately
    to mathematics in
    manifold ways, among
    them by basic research,
    by unparalleled
    mathematical exposition,
    and by unselfish service
    to the mathematical
    community. This title
    focuses on his
    contributions to operator
    theory.
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£98.60
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Distributions
Distributions
    This text offers an
    application-oriented
    introduction to the
    theory of distributions.
    It presents distributions
    as a natural method of
    analysis from a
    mathematical and physical
    point of view. The
    subject is motivated by
    many exercises, hints
    and solutions.
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£42.49
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Fourier Analysis
Fourier Analysis
    Intended for students
    with a beginning
    knowledge of mathematical
    analysis, this first
    volume, in a three-part
    introduction to Fourier
    analysis, introduces the
    core areas of
    mathematical analysis
    while also illustrating
    the organic unity between
    them. It includes
    numerous examples and
    applications.
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£33.56
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Stability of Operators and Operator Semigroups
Stability Of Operators And
Operator Semigroups
    This book systematically
    studies the asymptotic
    behavior, in particular
    "stability" in some
    sense, for discrete and
    continuous linear
    dynamical systems on
    Banach spaces. Of special
    concern is convergence to
    an equilibrium regarding
    various topologies.
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£61.20
Available
Operator Inequalities of the Jensen, Cebysev and Gruss Type
Operator Inequalities Of The
Jensen, Cebysev And Gruss Type
    Presents results
    concerning inequalities
    of the Jensen, Cebysev
    and Gruss type for
    continuous functions of
    bounded selfadjoint
    operators on complex
    Hilbert spaces. This
    title also presents the
    generalized Schwarz's
    inequality for positive
    selfadjoint operators as
    well as some results for
    the spectrum of this
    class of operators.
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£40.49
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Spectral Theory of Linear Operators
Spectral Theory Of Linear
Operators
    Presents a survey of
    results concerning
    various types of spectra,
    both of single and
    n-tuples of elements.
    This book contains
    results, in particular,
    concerning orbits and
    their relations to the
    invariant subspace
    problem. It is dedicated
    to the spectral theory of
    linear operators on
    Banach spaces and of
    elements in Banach
    algebras.
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£98.60
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Morrey and Campanato Meet Besov, Lizorkin and Triebel
Morrey And Campanato Meet
Besov, Lizorkin And Triebel
    Based on three formally
    different developments,
    namely, the theory of
    Besov and
    Triebel-Lizorkin spaces,
    the theory of Morrey and
    Campanato spaces and the
    theory of Q spaces, this
    title develops a unified
    framework for of these
    spaces. It provides a
    completion of the theory
    of Triebel-Lizorkin
    spaces when p = aeu.
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£34.84
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Fourier-Mukai Transforms in Algebraic Geometry
Fourier-Mukai Transforms In
Algebraic Geometry
    Written by a leading
    researcher, this seminal
    text is based on a course
    given at the Institut de
    Mathematiques de Jussieu.
    Aimed at students with a
    basic knowledge of
    algebraic geometry, it
    focuses on the derived
    category of coherent
    sheaves on a smooth
    projective variety. It
    also includes full proofs
    and exercises to aid the
    reader.
Availability: In Stock
£61.75
Available
Fast Fourier Transform - Algorithms and Applications
Fast Fourier Transform -
Algorithms And Applications
    Presents an introduction
    to the principles of the
    fast Fourier transform
    (FFT). This title covers
    FFTs, frequency domain
    filtering, and
    applications to video and
    audio signal processing.
    It adopts approaches like
    MATLAB examples and
    projects for better
    understanding of diverse
    FFTs.
Availability: In Stock
£61.20
Available
Semi-Inner Products and Applications
Semi-Inner Products And
Applications
    Semi-inner products,
    that can be naturally
    defined in general Banach
    spaces over the real or
    complex number field,
    play an important role in
    describing the geometric
    properties of these
    spaces. This title is
    about the study of
    semi-inner products and
    its applications.
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£71.60
Available
Applied Functional Analysis
Applied Functional Analysis
    To better prepare
    students to learn the
    variational theory of
    partial differential
    equations and numerical
    analysis, this book
    presents mathematical
    foundations leading to
    classical results in
    functional analysis. It
    includes such topics as
    the singular value
    decomposition, the
    Lebesgue measure, and
    the Banach contractive
    map theorem.
Availability: In Stock
£69.29
Available
Spectral Analysis on Graph-Like Spaces
Spectral Analysis On
Graph-Like Spaces
    Small-radius tubular
    structures are frequently
    used in different areas
    such as Mathematical
    Physics, Spectral
    Geometry and Global
    Analysis. This title
    analyses Laplace-like
    operators on thin tubular
    structures, and their
    natural limits on metric
    graphs. It explores norm
    resolvent convergence,
    convergence of the
    spectra and resonances.
Availability: In Stock
£56.69
Available
Operator Splittings and Their Applications
Operator Splittings And Their
Applications
    Aims to help scientists
    dealing with numerical
    modelling of real-life
    problems in understanding
    and applying different
    splitting methods. This
    book is suitable for
    numerical modellers and
    engineers as well as to
    graduate students who
    would like to become
    familiar with a very
    efficient computational
    method, applicable to a
    wide class of problems.
Availability: In Stock
£28.79
Available
Convex Analysis
Convex Analysis
    Presents readers with a
    coherent branch of
    nonlinear mathematical
    analysis that is suited
    to the study of
    optimization problems.
    This volume treats the
    topics such as: systems
    of inequalities, the
    minimum or maximum of a
    convex function over a
    convex set, Lagrange
    multipliers, minimax
    theorems and duality,
    and more.
Availability: In Stock
£38.36
Available
Vistas of Special Functions
Vistas Of Special Functions
    Combines several formulas
    scattered around the
    relevant literature under
    the guiding principle of
    viewing them as
    manifestations of the
    functional equations of
    associated
    zeta-functions. This
    title gives an organic
    and elucidating
    presentation of the
    situations where special
    functions can be
    effectively used.
Availability: In Stock
£57.60
Available
Linear Functional Analysis
Linear Functional Analysis
    An introduction to the
    ideas and methods of
    linear functional
    analysis which shows how
    familiar and useful
    concepts from
    finite-dimensional linear
    algebra can be extended
    or generalized to
    infinite-dimensional
    spaces. This title
    includes a chapter on the
    Hahn-Banach theorem and
    its applications to the
    theory of duality.
Availability: In Stock
£16.96
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