Banach Spaces Of Analytic Functions

Author: Kenneth Hoffman
Publisher: Courier Corporation
ISBN: 0486458741
Size: 53.26 MB
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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 in the unit disc. The author devotes the first four chapters to proofs of classical theorems on boundary values and boundary integral representations of analytic functions in the unit disc, including generalizations to Dirichlet algebras. The fifth chapter contains the factorization theory of Hp functions, a discussion of some partial extensions of the factorization, and a brief description of the classical approach to the theorems of the first five chapters. The remainder of the book addresses the structure of various Banach spaces and Banach algebras of analytic functions in the unit disc. Enhanced with 100 challenging exercises, a bibliography, and an index, this text belongs in the libraries of students, professional mathematicians, as well as anyone interested in a rigorous, high-level treatment of this topic.

Theory Of Linear Operations

Author: S. Banach
Publisher: Elsevier
ISBN: 9780080887203
Size: 60.34 MB
Format: PDF, Mobi
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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

Author: Martin Davis
Publisher: Courier Corporation
ISBN: 0486499839
Size: 42.27 MB
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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

Author: Heydar Radjavi
Publisher: Courier Corporation
ISBN: 0486153029
Size: 41.34 MB
Format: PDF, ePub
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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

Author: Marian Fabian
Publisher: Springer Science & Business Media
ISBN: 1475734808
Size: 58.16 MB
Format: PDF, Docs
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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 Abstract Harmonic Analysis

Author: Lynn H. Loomis
Publisher: Courier Corporation
ISBN: 0486282317
Size: 38.37 MB
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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

Author: Magnús M. Halldórsson
Publisher: Springer
ISBN: 366247672X
Size: 22.30 MB
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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

Author: Kenneth Hoffman
Publisher: Courier Corporation
ISBN: 0486135845
Size: 39.36 MB
Format: PDF
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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.

An Advanced Complex Analysis Problem Book

Author: Daniel Alpay
Publisher: Birkhäuser
ISBN: 3319160591
Size: 52.26 MB
Format: PDF, Mobi
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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.