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Hilbert spaces with applications

Author: Lokenath Debnath; Piotr Mikusiński
Publisher: Amsterdam ; Boston : Elsevier Academic Press, ©2005.
Edition/Format:   Print book : English : 3rd edView all editions and formats
Summary:
"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,  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Lokenath Debnath; Piotr Mikusiński
ISBN: 0122084381 9780122084386
OCLC Number: 61702121
Description: xviii, 580 pages ; 24 cm
Contents: Normed vector spaces --
The Lebesgue integral --
Hilbert spaces and orthonormal systems --
Linear operators on Hilbert spaces --
Applications to integral and differential equations --
Generalized functions and partial differential equations --
Mathematical foundations of quantum mechanics --
Wavelets and wavelet transforms --
Optimization problems and other miscellaneous applications.
Other Titles: Introduction to Hilbert spaces with applications
Responsibility: Lokenath Debnath, Piotr Mikusiński.
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Abstract:

Offering an overview of the basic ideas and results of Hilbert space theory and functional analysis, this book aims to acquaint students with the Lebesgue integral. It also includes a presentation of  Read more...

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"I think this is a superb text for an applied math class (at the upper level undergraduateor graduate level)! The introduction to Hilbert spaces and other material presented in Chapters 1-4 open the Read more...

 
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