Linear functional analysis / (Record no. 11599)
| 000 -LEADER | |
|---|---|
| fixed length control field | 02963cam a2200349 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 16114432 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20120703114027.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 100302s2010 riua b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2010006449 |
| 015 ## - NATIONAL BIBLIOGRAPHY NUMBER | |
| National bibliography number | GBB090977 |
| Source | bnb |
| 016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER | |
| Record control number | 015612714 |
| Source | Uk |
| 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 | (OCoLC)ocn539082132 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DLC |
| Transcribing agency | DLC |
| Modifying agency | YDX |
| -- | UBY |
| -- | YDXCP |
| -- | UKM |
| -- | BWX |
| -- | CDX |
| -- | DLC |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA321 |
| Item number | .C47 2010 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.7 |
| Edition number | 22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Cerda, Joan, |
| Dates associated with a name | 1942- |
| 245 10 - TITLE STATEMENT | |
| Title | Linear functional analysis / |
| Statement of responsibility, etc | Joan Cerdà. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| 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 Matemática Española, |
| Date of publication, distribution, etc | c2010. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiii, 330 p. : |
| Other physical details | ill. ; |
| Dimensions | 27 cm. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Graduate studies in mathematics ; |
| Volume number/sequential designation | v. 116 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 505 0# - 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 Hilbert space. |
| 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 description. |
| 546 ## - LANGUAGE NOTE | |
| Language note | Translated from the Spanish. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Functional analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Vector spaces. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Graduate studies in mathematics ; |
| Volume number/sequential designation | v. 116. |
| 925 0# - | |
| -- | acquire |
| -- | 2 shelf copies |
| -- | policy default |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
No items available.