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This title in other editions

Graduate Texts in Mathematics #192: Elements of Functional Analysis

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Graduate Texts in Mathematics #192: Elements of Functional Analysis Cover

 

Synopses & Reviews

Publisher Comments:

This is a graduate text on functional analysis. After presenting the fundamental function spaces and their duals, the authors study topics in operator theory and finally develop the theory of distributions up to significant applications such as Sobolev spaces and Dirichlet problems.Along the way, the reader is presented with a truly remarkable assortment of well formulated and interesting exercises, which test the understanding as well as point out many related topics. The answers and hints that are not already contained in the statements of the exercises are collected at the end of the book.

Synopsis:

The authors' goal in this book on functional analysis is to introduce the reader to the theory of distributions, differential operators, and Sobolev spaces. Along the way, the reader is presented.with a truly remarkable assortment of well formulated interesting and solved exercises which test the understanding as well as point out many related topics.

Synopsis:

This book presents the fundamental function spaces and their duals, explores operator theory and finally develops the theory of distributions up to significant applications such as Sobolev spaces and Dirichlet problems. Includes an assortment of well formulated exercises, with answers and hints collected at the end of the book.

Description:

Includes bibliographical references (p. [385]-386) and index.

Table of Contents

I. Function Spaces and Their Duals: The Space of Continous Functions on a Compact Set.- Locally Compact Spaces and Radon Measures.- Hilbert Spaces.- Lp Spaces; II. Operators: Spectra.- Compact Operators; III. Distributions: Definitions and Examples.- Multiplication and Differentiation.- Convolution of Distributions.- The Laplacian on an Open Set.

Product Details

ISBN:
9780387985244
Translator:
Levy, S.
Author:
Lacombe, Gilles
Author:
Hirsch, F.
Author:
Hirsch, Francis
Author:
Levy, S.
Publisher:
Springer
Location:
New York :
Subject:
Calculus
Subject:
Mathematical Analysis
Subject:
Functional Analysis
Subject:
Analysis
Subject:
Mathematics : Functional Analysis
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
Graduate Texts in Mathematics
Series Volume:
192
Publication Date:
19990326
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
410
Dimensions:
235 x 155 mm 1690 gr

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Related Subjects

History and Social Science » Archaeology » General
Science and Mathematics » Biology » General
Science and Mathematics » Mathematics » Analysis General
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Science and Mathematics » Mathematics » Functional Analysis
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Graduate Texts in Mathematics #192: Elements of Functional Analysis New Hardcover
0 stars - 0 reviews
$108.50 In Stock
Product details 410 pages Springer-Verlag - English 9780387985244 Reviews:
"Synopsis" by , The authors' goal in this book on functional analysis is to introduce the reader to the theory of distributions, differential operators, and Sobolev spaces. Along the way, the reader is presented.with a truly remarkable assortment of well formulated interesting and solved exercises which test the understanding as well as point out many related topics.
"Synopsis" by , This book presents the fundamental function spaces and their duals, explores operator theory and finally develops the theory of distributions up to significant applications such as Sobolev spaces and Dirichlet problems. Includes an assortment of well formulated exercises, with answers and hints collected at the end of the book.
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