MARC details
000 -LEADER |
fixed length control field |
02853nam a22003257a 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20240517182834.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
240517b |||||||| |||| 00| 0 hin d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781470426620 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781470428853 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
NISER LIBRARY |
Language of cataloging |
eng |
Transcribing agency |
NISER LIBRARY |
041 1# - LANGUAGE CODE |
Language code of text/sound track or separate title |
English |
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
517.98 |
Item number |
GEL-G |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Gelʹfand, I. M. |
Fuller form of name |
(Izrailʹ Moiseevich) |
245 10 - TITLE STATEMENT |
Title |
Generalized functions, volume 4 : |
Remainder of title |
applications of harmonic analysis. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc. |
Providence, Rhode Island : |
Name of publisher, distributor, etc. |
American Mathematical Society Chelsea Publishing, |
Date of publication, distribution, etc. |
2016. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xiv, 384p. : |
Other physical details |
illustrations (black and white) ; |
Dimensions |
26 cm. |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references and index. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I. M. Gel′fand and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory.<br/><br/>The main goal of Volume 4 is to develop the functional analysis setup for the universe of generalized functions. The main notion introduced in this volume is the notion of rigged Hilbert space (also known as the equipped Hilbert space, or Gelfand triple). Such space is, in fact, a triple of topological vector spaces E⊂H⊂E′, where H is a Hilbert space, E′ is dual to E, and inclusions E⊂H and H⊂E′ are nuclear operators. The book is devoted to various applications of this notion, such as the theory of positive definite generalized functions, the theory of generalized stochastic processes, and the study of measures on linear topological spaces. |
521 ## - TARGET AUDIENCE NOTE |
Target audience note |
Graduate students and research mathematicians interested in functional analysis. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Theory of distributions (Functional analysis) |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Functional analysis -- Distributions, generalized functions, distribution spaces -- Distributions, generalized functions, distribution spaces |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Harmonic analysis |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics |
General subdivision |
Calculus. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics |
General subdivision |
Mathematical Analysis |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Vilenkin, N. Ya. |
Fuller form of name |
(Naum I︠A︡kovlevich) |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Table of Contents |
Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/chel-380-h-toc.pdf?_gl=1*w2pf86*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNTk0NDY2MC41LjEuMTcxNTk0OTcxMy4wLjAuMA..">https://www.ams.org/bookstore/pspdf/chel-380-h-toc.pdf?_gl=1*w2pf86*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNTk0NDY2MC41LjEuMTcxNTk0OTcxMy4wLjAuMA..</a> |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Reviews |
Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/29445001-generalized-functions?from_search=true&from_srp=true&qid=R0B2teQbkE&rank=1#CommunityReviews">https://www.goodreads.com/book/show/29445001-generalized-functions?from_search=true&from_srp=true&qid=R0B2teQbkE&rank=1#CommunityReviews</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
Book |
Source of classification or shelving scheme |
Universal Decimal Classification |