عنوان

Linear functional analysis /

شابک

0821851152 (alk. paper)

شابک

9780821851159 (alk. paper)

شماره

dltt

عنوان اصلي

Linear functional analysis /

نام عام مواد

[Book]

نام نخستين پديدآور

Joan Cerdà

محل نشرو پخش و غیره

Madrid, Spain :

نام ناشر، پخش کننده و غيره

Real Sociedad Matemática Española,

تاریخ نشرو بخش و غیره

c2010

نام خاص و کميت اثر

xiii, 330 p. :

ساير جزييات

ill. ;

ابعاد

27 cm

عنوان فروست

Graduate studies in mathematics ;

مشخصه جلد

v. 116

متن يادداشت

Includes bibliographical references and index

متن يادداشت

Introduction -- Normed spaces and operators -- Fréchet spaces and Banach theorems -- Duality -- Weak topologies -- Distributions -- Fourier transform and Sobolev spaces -- Banach algebras -- Unbounded operators in a Hilbert space

بدون عنوان

0

متن يادداشت

"Functional analysis studies the algebraic, geometric, and topological structures of spaces and operators that underlie many classical problems. Individual functions satisfying specific equations are replaced by classes of functions and transforms that are determined by the particular problems at hand. This book presents the basic facts of linear functional analysis as related to fundamental aspects of mathematical analysis and their applications. The exposition avoids unnecessary terminology and generality and focuses on showing how the knowledge of these structures clarifies what is essential in analytic problems. The material in the first part of the book can be used for an introductory course on functional analysis, with an emphasis on the role of duality. The second part introduces distributions and Sobolev spaces and their applications. Convolution and the Fourier transform are shown to be useful tools for the study of partial differential equations. Fundamental solutions and Green's functions are considered and the theory is illustrated with several applications. In the last chapters, the Gelfand transform for Banach algebras is used to present the spectral theory of bounded and unbounded operators, which is then used in an introduction to the basic axioms of quantum mechanics. The presentation is intended to be accessible to readers whose backgrounds include basic linear algebra, integration theory, and general topology. Almost 240 exercises will help the reader in better understanding the concepts employed."--Publisher's description

موضوع مستند نشده

Functional analysis

موضوع مستند نشده

Vector spaces

شماره

ويراست

شماره رده

شماره رده

نشانه اثر

نشانه اثر

مستند نام اشخاص تاييد نشده

Cerda, Joan,1942-

تاريخ عمليات

20101005101856.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y