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Mathematics
Functional Analysis


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Featured Titles in Mathematics - Functional Analysis
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The Real Numbers and Real Analysis
The Real Numbers and Real Analysis
by Ethan Bloch
Publisher Comments
This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written definitions, theorems, and proofs.... (read more)

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Operator Theory: Advances and Applications #221: Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations: 21st International Workshop on Operator Theor
Operator Theory: Advances and Applications #221: Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations: 21st International Workshop on Operator Theor
by Wolfgang Arendt
Publisher Comments
The present volume contains a collection of original research articles and expository contributions on recent developments in operator theory and its multifaceted applications. They cover a wide range of themes from the IWOTA 2010 conference held at the... (read more)

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Principles of Numerical Analysis
Principles of Numerical Analysis
by Alston Householder
Publisher Comments
Both routines of numerical computation and those of high-speed digital computation rely on basic principles of numerical analysis. This text offers a clear and concise presentation by one of the authorities in the field. An excellent reference and study... (read more)

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Banach Spaces of Analytic Functions Banach Spaces of Analytic Functions
Banach Spaces of Analytic Functions Banach Spaces of Analytic Functions
by Kenneth Hoffman
Publisher Comments
A classic of pure mathematics, this advanced graduate-level text explores the intersection of functional analysis and analytic function theory. Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions... (read more)

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Banach Spaces for Analysts
Banach Spaces for Analysts
by Przemysaw Wojtaszczyk
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This book is intended to be used with graduate courses in Banach space theory.... (read more)

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Elements of Nonlinear Analysis (Birkhauser Advanced Texts)
Elements of Nonlinear Analysis (Birkhauser Advanced Texts)
by Michel Chipot
Publisher Comments
"This book covers some of the main aspects of nonlinear analysis. It concentrates on stressing the fundamental ideas instead of elaborating on the intricacies of the more esoteric ones...it encompass[es] many methods of dynamical systems in quite simple... (read more)

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Interpolation Processes: Basic Theory and Applications (Springer Monographs in Mathematics)
Interpolation Processes: Basic Theory and Applications (Springer Monographs in Mathematics)
by Giuseppe Mastroianni
Publisher Comments
The classical books on interpolation address numerous negative results, i.e., results on divergent interpolation processes, usually constructed over some equidistant systems of nodes. The authors present, with complete proofs, recent results on... (read more)

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Fourier Series and Orthogonal Polynomials
Fourier Series and Orthogonal Polynomials
by Dunham Jackson
Publisher Comments
This text for undergraduate and graduate students illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Starting with a definition and explanation of the elements of Fourier series, the... (read more)

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Spectral Analysis for Physical Applications
Spectral Analysis for Physical Applications
by Donald B. Percival
Publisher Comments
An up-to-date introduction to univariate spectral analysis at the graduate level.... (read more)

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Operator Theory: Advances and Applications #280: Conservative Realizations of Herglotz-Nevanlinna Functions
Operator Theory: Advances and Applications #280: Conservative Realizations of Herglotz-Nevanlinna Functions
by Yuri Arlinskii
Publisher Comments
This book is devoted to conservative realizations of various classes of Stieltjes, inverse Stieltjes, and general Herglotz-Nevanlinna functions as impedance functions of linear systems. The main feature of the monograph is a new approach to the... (read more)

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Multivariable Analysis
Multivariable Analysis
by Satish Shirali
Publisher Comments
This book provides a rigorous treatment of multivariable differential and integral calculus. Inverse and implicit function theorems based on total derivatives are given and the connection with solving systems of equations is included. There is an... (read more)

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The Orbit Method in Geometry and Physics: In Honor of A.A. Kirillov
The Orbit Method in Geometry and Physics: In Honor of A.A. Kirillov
by Christian Duval
Publisher Comments
The orbit method influenced the development of several areas of mathematics in the second half of the 20th century and continues to be an important tool today. Among the distinguished names associated with the orbit method is that of A.A. Kirillov, whose... (read more)

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Functions, Spaces, and Expansions: Mathematical Tools in Physics and Engineering (Applied and Numerical Harmonic Analysis)
Functions, Spaces, and Expansions: Mathematical Tools in Physics and Engineering (Applied and Numerical Harmonic Analysis)
by Ole Christensen
Publisher Comments
This graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role... (read more)

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Problem Book in the Theory of Functions
Problem Book in the Theory of Functions
by Konrad Knopp
Publisher Comments
This new single-volume edition combines two parts of a renowned mathematician's collection of instructive problems. Vol. I contains more than 300 elementary problems dealing with fundamental concepts, infinite sequences and series, functions of a complex... (read more)

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Monographs in Mathematics #103: Methods of Geometric Analysis in Extension and Trace Problems: Volume 2
Monographs in Mathematics #103: Methods of Geometric Analysis in Extension and Trace Problems: Volume 2
by Alexander Brudnyi
Publisher Comments
This is the second of a two-volume... (read more)

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Classical Fourier Transforms (Universitext)
Classical Fourier Transforms (Universitext)
by Komaravolu Chandrasekharan
Publisher Comments
This book gives a thorough introduction on classical Fourier transforms in a compact and self-contained form. Chapter I is devoted to the L1-theory: basic properties are proved as well as the Poisson summation formula, the central limit theorem and... (read more)

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An Introduction to Linear and Nonlinear Scattering Theory
An Introduction to Linear and Nonlinear Scattering Theory
by G. Roach
Synopsis
This monograph has two main purposes, first to act as a companion volume to more advanced texts by gathering together the principal mathematical topics commonly used in developing scattering theories and, in so doing, provide a reasonable, self-contained... (read more)

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Three-Space Problems in Banach Space Theory, Vol. 166
Three-Space Problems in Banach Space Theory, Vol. 166
by Jesus M. F. Castillo
Publisher Comments
This book on Banach space theory focuses on what have been called three-space problems. It contains a fairly complete description of ideas, methods, results and counterexamples. It can be considered self-contained, beyond a course in functional analysis... (read more)

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General Theory of Functions and Integration
General Theory of Functions and Integration
by Angus Ellis Taylor
Publisher Comments
Presenting the various approaches to the study of integration, a well-known mathematics professor brings together in one volume "a blend of the particular and the general, of the concrete and the abstract." This volume is suitable for advanced... (read more)

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Pseudo-Differential Operators #5: Symplectic Methods in Harmonic Analysis and in Mathematical Physics
Pseudo-Differential Operators #5: Symplectic Methods in Harmonic Analysis and in Mathematical Physics
by Maurice A. De Gosson
Publisher Comments
The aim of this book is to give a rigorous and complete treatment of various topics from harmonic analysis with a strong emphasis on symplectic invariance properties, which are often ignored or underestimated in the time-frequency literature. The topics... (read more)

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