Linear functional analysis (Record no. 20228)

MARC details
000 -LEADER
fixed length control field 02598 a2200265 4500
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2010006449
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821851159 (alk. paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0821851152 (alk. paper)
035 ## - SYSTEM CONTROL NUMBER
System control number
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515/.7
084 ## - OTHER CLASSIFICATION NUMBER
Number source 46-01(46Axx, 46Bxx, 46Exx, 46Fxx, 46jxx, 47B15)
090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN)
-- 20496
-- 20496
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Cerda, Joan
245 10 - TITLE STATEMENT
Title Linear functional analysis
Statement of responsibility, etc. Joan Cerda
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Providence, R.I
Name of publisher, distributor, etc. American Mathematical Society
Place of publication, distribution, etc. Madrid, Spain
Name of publisher, distributor, etc. Real Sociedad Matematica Espanola
Date of publication, distribution, etc. 2010
300 ## - PHYSICAL DESCRIPTION
Extent xiii, 330 p
Other physical details ill
Dimensions 26 cm
490 ## - SERIES STATEMENT
Series statement Graduate studies in mathematics
Volume/sequential designation 116
500 ## - GENERAL NOTE
General note Cuprinde bibliografie si index
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note 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 Hilb
520 ## - SUMMARY, ETC.
Summary, etc. "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 de
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Functional analysis
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Vect
830 ## - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Graduate studies in mathematics
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Institution code [OBSOLETE] IMAR
Koha item type Carti
Serial record flag MD
Holdings
Withdrawn status Lost status Damaged status Not for loan Home library Current library Date acquired Inventory number Full call number Barcode Date last seen Price effective from Koha item type
        IMAR IMAR 03/21/2024 Mcc 9017 II 36409 0022644   03/21/2024 Carti

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