Introduction To Hilbert Spaces With Applications
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Introduction To Hilbert Spaces With Applications
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Author : Lokenath Debnath
language : en
Publisher: Academic Press
Release Date : 2005-09-29
Introduction To Hilbert Spaces With Applications written by Lokenath Debnath and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-29 with Mathematics categories.
"Continuing 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 complemented by a variety of applications. Students and researchers will benefit from the enhanced presentation of results and proofs and new and revised examples. A completely new section on Sobolev spaces has been added, and the treatment of finite dimensional normed spaces has been expanded. The chapter on wavelets has been updated."--BOOK JACKET.
Introduction To Hilbert Spaces With Applications
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Author : Lokenath Debnath
language : en
Publisher:
Release Date : 1999
Introduction To Hilbert Spaces With Applications written by Lokenath Debnath and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
The Second Edition of this successful text offers a systematic exposition of the basic ideas and results of Hilbert space theory and functional analysis. It includes a simple introduction to the Lebesgue integral and a new chapter on wavelets. The book provides the reader with revised examples and updated diverse applications to differential and integral equations with clear explanations of these methods as applied to optimization, variational and control problems, and problems in approximation theory, nonlinear instability, and bifurcation.
Introduction To Hilbert Spaces With Applications 3e
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Author : Loknath
language : en
Publisher:
Release Date : 2005
Introduction To Hilbert Spaces With Applications 3e written by Loknath and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Hilbert space categories.
Introduction To Hilbert Spaces With Applications
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Author : Lokenath Debnath
language : en
Publisher: Elsevier
Release Date : 2005-09-29
Introduction To Hilbert Spaces With Applications written by Lokenath Debnath and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-29 with Mathematics categories.
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
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Author : N. Young
language : en
Publisher: Cambridge University Press
Release Date : 1988-07-21
An Introduction To Hilbert Space written by N. Young and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-07-21 with Mathematics categories.
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.
Introduction To Hilbert Space
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Author : Sterling K. Berberian
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Introduction To Hilbert Space written by Sterling K. Berberian and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
From the Preface: ``This textbook has evolved from a set of lecture notes ... In both the course and the book, I have in mind first- or second-year graduate students in Mathematics and related fields such as Physics ... It is necessary for the reader to have a foundation in advanced calculus which includes familiarity with: least upper bound (LUB) and greatest lower bound (GLB), the concept of function, $\epsilon$'s and their companion $\delta$'s, and basic properties of sequences of real and complex numbers (convergence, Cauchy's criterion, the Weierstrass-Bolzano theorem). It is not presupposed that the reader is acquainted with vector spaces ... , matrices ... , or determinants ... There are over four hundred exercises, most of them easy ... It is my hope that this book, aside from being an exposition of certain basic material on Hilbert space, may also serve as an introduction to other areas of functional analysis.''
From Euclidean To Hilbert Spaces
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Author : Edoardo Provenzi
language : en
Publisher: John Wiley & Sons
Release Date : 2021-08-24
From Euclidean To Hilbert Spaces written by Edoardo Provenzi and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-24 with Mathematics categories.
From Euclidian to Hilbert Spaces analyzes the transition from finite dimensional Euclidian spaces to infinite-dimensional Hilbert spaces, a notion that can sometimes be difficult for non-specialists to grasp. The focus is on the parallels and differences between the properties of the finite and infinite dimensions, noting the fundamental importance of coherence between the algebraic and topological structure, which makes Hilbert spaces the infinite-dimensional objects most closely related to Euclidian spaces. The common thread of this book is the Fourier transform, which is examined starting from the discrete Fourier transform (DFT), along with its applications in signal and image processing, passing through the Fourier series and finishing with the use of the Fourier transform to solve differential equations. The geometric structure of Hilbert spaces and the most significant properties of bounded linear operators in these spaces are also covered extensively. The theorems are presented with detailed proofs as well as meticulously explained exercises and solutions, with the aim of illustrating the variety of applications of the theoretical results.
Functional Analysis
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Author : Joseph Muscat
language : en
Publisher: Springer
Release Date : 2014-07-23
Functional Analysis written by Joseph Muscat and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-23 with Mathematics categories.
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.
Hilbert Space Methods In Signal Processing
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Author : Rodney A. Kennedy
language : en
Publisher: Cambridge University Press
Release Date : 2013-03-07
Hilbert Space Methods In Signal Processing written by Rodney A. Kennedy and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Mathematics categories.
An accessible introduction to Hilbert spaces, combining the theory with applications of Hilbert methods in signal processing.
An Introduction To The Theory Of Reproducing Kernel Hilbert Spaces
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Author : Vern I. Paulsen
language : en
Publisher: Cambridge University Press
Release Date : 2016-04-11
An Introduction To The Theory Of Reproducing Kernel Hilbert Spaces written by Vern I. Paulsen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-11 with Mathematics categories.
A unique introduction to reproducing kernel Hilbert spaces, covering the fundamental underlying theory as well as a range of applications.