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Banach Spaces of Analytic Functions

Banach Spaces of Analytic Functions Author Kenneth Hoffman
ISBN-10 9780486149967
Release 2014-06-10
Pages 224
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This rigorous investigation of Hardy spaces and the invariant subspace problem is suitable for advanced undergraduates and graduates, covering complex functions, harmonic analysis, and functional analysis. 1962 edition.

Theory of Linear Operations

Theory of Linear Operations Author S. Banach
ISBN-10 0080887201
Release 1987-03-01
Pages 248
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This classic work by the late Stefan Banach has been translated into English so as to reach a yet wider audience. It contains the basics of the algebra of operators, concentrating on the study of linear operators, which corresponds to that of the linear forms a1x1 + a2x2 + ... + anxn of algebra. The book gathers results concerning linear operators defined in general spaces of a certain kind, principally in Banach spaces, examples of which are: the space of continuous functions, that of the pth-power-summable functions, Hilbert space, etc. The general theorems are interpreted in various mathematical areas, such as group theory, differential equations, integral equations, equations with infinitely many unknowns, functions of a real variable, summation methods and orthogonal series. A new fifty-page section (``Some Aspects of the Present Theory of Banach Spaces'') complements this important monograph.

A First Course in Functional Analysis

A First Course in Functional Analysis Author Martin Davis
ISBN-10 9780486499833
Release 2013
Pages 110
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Designed for undergraduate mathematics majors, this introductory treatment is based on the distinguished author's lecture notes. The self-contained exposition of Gelfand's proof of Wiener's theorem explores set theoretic preliminaries, normed linear spaces and algebras, functions on Banach spaces, homomorphisms on normed linear spaces, and analytic functions into a Banach space. 1966 edition.

Invariant Subspaces

Invariant Subspaces Author Heydar Radjavi
ISBN-10 9780486153025
Release 2011-11-30
Pages 256
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Broad survey focuses on operators on separable Hilbert spaces. Topics include normal operators, analytic functions of operators, shift operators, invariant subspace lattices, compact operators, invariant and hyperinvariant subspaces, more. 1973 edition.

Functional Analysis and Infinite Dimensional Geometry

Functional Analysis and Infinite Dimensional Geometry Author Marian Fabian
ISBN-10 9781475734805
Release 2013-04-17
Pages 451
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This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints.

Introduction to Banach Algebras Operators and Harmonic Analysis

Introduction to Banach Algebras  Operators  and Harmonic Analysis Author H. Garth Dales
ISBN-10 0521535840
Release 2003-11-13
Pages 324
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Introduction to important topics in functional analysis from leading researchers. Ideal for graduate students.

Introduction to Abstract Harmonic Analysis

Introduction to Abstract Harmonic Analysis Author Lynn H. Loomis
ISBN-10 9780486282312
Release 2013-05-09
Pages 208
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Written by a prominent figure in the field of harmonic analysis, this classic monograph is geared toward advanced undergraduates and graduate students and focuses on methods related to Gelfand's theory of Banach algebra. 1953 edition.

Automata Languages and Programming

Automata  Languages  and Programming Author Magnús M. Halldórsson
ISBN-10 9783662476727
Release 2015-06-19
Pages 1111
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The two-volume set LNCS 9134 and LNCS 9135 constitutes the refereed proceedings of the 42nd International Colloquium on Automata, Languages and Programming, ICALP 2015, held in Kyoto, Japan, in July 2015. The 143 revised full papers presented were carefully reviewed and selected from 507 submissions. The papers are organized in the following three tracks: algorithms, complexity, and games; logic, semantics, automata, and theory of programming; and foundations of networked computation: models, algorithms, and information management.

Analysis in Euclidean Space

Analysis in Euclidean Space Author Kenneth Hoffman
ISBN-10 9780486135847
Release 2013-01-16
Pages 448
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Developed for a beginning course in mathematical analysis, this text focuses on concepts, principles, and methods, offering introductions to real and complex analysis and complex function theory. 1975 edition.

Theory of Hp Spaces

Theory of Hp Spaces Author Peter L. Duren
ISBN-10 0486411842
Release 2000
Pages 292
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A blend of classical and modern techniques and viewpoints, this text examines harmonic and subharmonic functions, the basic structure of Hp functions, applications, Taylor coefficients, interpolation theory, more. 1970 edition.

An Advanced Complex Analysis Problem Book

An Advanced Complex Analysis Problem Book Author Daniel Alpay
ISBN-10 9783319160597
Release 2015-11-13
Pages 521
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This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of facts from functional analysis and topological vector spaces are surveyed. Then, various Hilbert spaces of analytic functions are studied.

The Cauchy Transform

The Cauchy Transform Author Joseph A. Cima
ISBN-10 9780821838716
Release 2006
Pages 272
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The Cauchy transform of a measure on the circle is a subject of both classical and current interest with a sizable literature. This book is a thorough, well-documented, and readable survey of this literature and includes full proofs of the main results of the subject. This book also covers more recent perturbation theory as covered by Clark, Poltoratski, and Aleksandrov and contains an in-depth treatment of Clark measures.

Foundations of Modern Analysis

Foundations of Modern Analysis Author Avner Friedman
ISBN-10 0486640620
Release 1970
Pages 250
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Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis. Preface. Bibliography. Index.

Square Summable Power Series

Square Summable Power Series Author Louis de Branges
ISBN-10 9780486789996
Release 2015-02-18
Pages 112
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Text for advanced undergraduate and graduate students introduces Hilbert space and analytic function theory. Its principal feature is the extensive use of formal power series methods to obtain and sometimes reformulate results of analytic function theory. 1966 edition.

Topological Vector Spaces Distributions and Kernels

Topological Vector Spaces  Distributions and Kernels Author Francois Treves
ISBN-10 9780486318103
Release 2013-09-03
Pages 592
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Extending beyond the boundaries of Hilbert and Banach space theory, this text focuses on key aspects of functional analysis, particularly in regard to solving partial differential equations. 1967 edition.

Mathematical Foundations of Elasticity

Mathematical Foundations of Elasticity Author Jerrold E. Marsden
ISBN-10 9780486142272
Release 2012-10-25
Pages 576
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Graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It presents a classical subject in a modern setting, with examples of newer mathematical contributions. 1983 edition.

Real and Abstract Analysis

Real and Abstract Analysis Author E. Hewitt
ISBN-10 9783642880476
Release 2013-03-09
Pages 476
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This book is first of all designed as a text for the course usually called "theory of functions of a real variable". This course is at present cus tomarily offered as a first or second year graduate course in United States universities, although there are signs that this sort of analysis will soon penetrate upper division undergraduate curricula. We have included every topic that we think essential for the training of analysts, and we have also gone down a number of interesting bypaths. We hope too that the book will be useful as a reference for mature mathematicians and other scientific workers. Hence we have presented very general and complete versions of a number of important theorems and constructions. Since these sophisticated versions may be difficult for the beginner, we have given elementary avatars of all important theorems, with appro priate suggestions for skipping. We have given complete definitions, ex planations, and proofs throughout, so that the book should be usable for individual study as well as for a course text. Prerequisites for reading the book are the following. The reader is assumed to know elementary analysis as the subject is set forth, for example, in TOM M. ApOSTOL'S Mathematical Analysis [Addison-Wesley Publ. Co., Reading, Mass., 1957], or WALTER RUDIN'S Principles of Mathe nd matical Analysis [2 Ed., McGraw-Hill Book Co., New York, 1964].