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Banach Spaces Of Analytic Functions

Author: Kenneth Hoffman
Publisher: Courier Corporation
ISBN: 048614996X
Size: 32.57 MB
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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.

Aufbaukurs Funktionalanalysis Und Operatortheorie

Author: Winfried Kaballo
Publisher: Springer-Verlag
ISBN: 3642377947
Size: 64.85 MB
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In diesem Buch finden Sie eine Einführung in die Funktionalanalysis und Operatortheorie auf dem Niveau eines Master-Studiengangs. Ausgehend von Fragen zu partiellen Differenzialgleichungen und Integralgleichungen untersuchen Sie lineare Gleichungen im Hinblick auf Existenz und Struktur von Lösungen sowie deren Abhängigkeit von Parametern. Dazu lernen Sie verschiedene Konzepte und Methoden kennen: Distributionen, Fourier-Transformation, Sobolev-Räume, Dualitätstheorie im Rahmen lokalkonvexer Räume, topologische Tensorprodukte, exakte Sequenzen, Banachalgebren, Fredholmoperatoren, Funktionalkalküle sowie selbstadjungierte Operatoren und ihre Rolle in der Quantenmechanik. Das Buch ist ausführlich und leicht verständlich geschrieben, die Konzepte und Resultate werden durch Abbildungen und viele Beispiele illustriert. Anhand zahlreicher Übungsaufgaben (mit Lösungen auf der Website zum Buch) können Sie Ihr Verständnis des Stoffes testen, anhand anderer diesen selbstständig weiterentwickeln.

An Advanced Complex Analysis Problem Book

Author: Daniel Alpay
Publisher: Birkhäuser
ISBN: 3319160591
Size: 20.36 MB
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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.

Automata Languages And Programming

Author: Magnús M. Halldórsson
Publisher: Springer
ISBN: 366247672X
Size: 56.88 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.

A First Course In Functional Analysis

Author: Martin Davis
Publisher: Courier Corporation
ISBN: 0486499839
Size: 32.21 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.

Elementare Zahlentheorie

Author: Edmund Landau
Publisher: American Mathematical Soc.
ISBN: 0821836528
Size: 29.70 MB
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Landau's monumental treatise is a virtual encyclopedia of number theory and is universally recognized as the standard work on the subject. The text is in German.

Analysis In Euclidean Space

Author: Kenneth Hoffman
Publisher: Courier Corporation
ISBN: 0486135845
Size: 45.48 MB
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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.

Topological Vector Spaces Distributions And Kernels

Author: Francois Treves
Publisher: Courier Corporation
ISBN: 0486318109
Size: 27.30 MB
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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.