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Introduction To Hilbert Spaces With Applications

Introduction to Hilbert Spaces with Applications PDF
Author: Lokenath Debnath
Publisher: Academic Press
Release: 2005-10-13
Size: 54.66 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 580
View: 5165

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Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, Third Edition, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. It acquaints students with the Lebesgue integral, and includes an enhanced presentation of results and proofs. Students and researchers will benefit from the wealth of revised examples in new, diverse applications as they apply to optimization, variational and control problems, and problems in approximation theory, nonlinear instability, and bifurcation. The text also includes a popular chapter on wavelets that has been completely updated. Students and researchers agree that this is the definitive text on Hilbert Space theory. Updated chapter on wavelets Improved presentation on results and proof Revised examples and updated applications Completely updated list of references

An Introduction To Hilbert Space

An Introduction to Hilbert Space PDF
Author: N. Young
Publisher: Cambridge University Press
Release: 1988-07-21
Size: 68.96 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 239
View: 5384

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The notion of a Hilbert space is a central idea in functional analysis and this text demonstrates its applications in numerous branches of pure and applied mathematics.

Lineare Operatoren In Hilbertr Umen

Lineare Operatoren in Hilbertr  umen PDF
Author: Joachim Weidmann
Publisher: Springer-Verlag
Release: 2013-03-08
Size: 67.58 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : de
Pages : 475
View: 4064

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Behandelt werden die Grundlagen der Theorie zum Thema Lineare Operatoren in Hilberträumen, wie sie üblicherweise in Standardvorlesungen für Mathematiker und Physiker vorgestellt werden.

Applications Of Functional Analysis And Operator Theory

Applications of Functional Analysis and Operator Theory PDF
Author: V. Hutson
Publisher: Elsevier
Release: 2005-02-08
Size: 78.46 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 432
View: 927

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Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. The present book provides, by careful selection of material, a collection of concepts and techniques essential for the modern practitioner. Emphasis is placed on the solution of equations (including nonlinear and partial differential equations). The assumed background is limited to elementary real variable theory and finite-dimensional vector spaces. Provides an ideal transition between introductory math courses and advanced graduate study in applied mathematics, the physical sciences, or engineering Gives the reader a keen understanding of applied functional analysis, building progressively from simple background material to the deepest and most significant results Introduces each new topic with a clear, concise explanation Includes numerous examples linking fundamental principles with applications Solidifies the reader's understanding with numerous end-of-chapter problems

Functional Analysis

Functional Analysis PDF
Author: Joseph Muscat
Publisher: Springer
Release: 2014-07-23
Size: 73.71 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 420
View: 3471

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This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonov regularization, should appeal not only to mathematicians interested in applications, but also to researchers in related fields. Functional Analysis adopts a self-contained approach to Banach spaces and operator theory that covers the main topics, based upon the classical sequence and function spaces and their operators. It assumes only a minimum of knowledge in elementary linear algebra and real analysis; the latter is redone in the light of metric spaces. It contains more than a thousand worked examples and exercises, which make up the main body of the book.

Einf Hrung In Die Funktionalanalysis

Einf  hrung in die Funktionalanalysis PDF
Author: Christian Clason
Publisher: Springer-Verlag
Release: 2019-10-07
Size: 69.28 MB
Format: PDF, ePub
Category : Mathematics
Languages : de
Pages : 170
View: 5727

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Funktionalanalysis hat sich in den letzten Jahrzehnten zu einer der wesentlichen Grundlagen der modernen angewandten Mathematik entwickelt, von der Theorie und Numerik von Differentialgleichungen über Optimierung und Wahrscheinlichkeitstheorie bis zu medizinischer Bildgebung und mathematischer Bildverarbeitung. Das vorliegende Lehrbuch bietet eine kompakte Einführung in die Theorie und ist begleitend für eine vierstündige Vorlesung im Bachelorstudium konzipiert. Es spannt den Bogen von den topologischen Grundlagen aus der Analysis-Grundvorlesung bis zur Spektraltheorie in Hilberträumen; besondere Aufmerksamkeit wird dabei den zentralen Resultaten über Dualräume und schwache Konvergenz geschenkt.

An Introduction To Functional Analysis

An Introduction to Functional Analysis PDF
Author: Charles Swartz
Publisher: CRC Press
Release: 1992-01-28
Size: 56.11 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 600
View: 849

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Based on an introductory, graduate-level course given by Swartz at New Mexico State U., this textbook, written for students with a moderate knowledge of point set topology and integration theory, explains the principles and theories of functional analysis and their applications, showing the interpla

An Introduction To The Theory Of Reproducing Kernel Hilbert Spaces

An Introduction to the Theory of Reproducing Kernel Hilbert Spaces PDF
Author: Vern I. Paulsen
Publisher: Cambridge University Press
Release: 2016-04-11
Size: 54.41 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 182
View: 837

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A unique introduction to reproducing kernel Hilbert spaces, covering the fundamental underlying theory as well as a range of applications.

Introduction To Spectral Theory

Introduction to Spectral Theory PDF
Author: P.D. Hislop
Publisher: Springer Science & Business Media
Release: 2012-12-06
Size: 66.11 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 338
View: 1322

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The intention of this book is to introduce students to active areas of research in mathematical physics in a rather direct way minimizing the use of abstract mathematics. The main features are geometric methods in spectral analysis, exponential decay of eigenfunctions, semi-classical analysis of bound state problems, and semi-classical analysis of resonance. A new geometric point of view along with new techniques are brought out in this book which have both been discovered within the past decade. This book is designed to be used as a textbook, unlike the competitors which are either too fundamental in their approach or are too abstract in nature to be considered as texts. The authors' text fills a gap in the marketplace.

Applied Analysis By The Hilbert Space Method

Applied Analysis by the Hilbert Space Method PDF
Author: Samuel S. Holland
Publisher: Courier Corporation
Release: 2012-05-04
Size: 67.85 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 576
View: 5911

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Numerous worked examples and exercises highlight this unified treatment. Simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide. 1990 edition.