MARC details
| 000 -LEADER |
|---|
| fixed length control field |
03015cam a2200313 i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20240517165730.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
151013r20161964riu b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781470426583 |
| 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) |
| 240 ## - UNIFORM TITLE |
|---|
| Uniform title |
<a href="Obobshchennye funkt︠s︡ii.">Obobshchennye funkt︠s︡ii.</a> |
| Language of a work |
English |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Generalized functions, volume 1 : |
| Remainder of title |
properties and operations. |
| 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 |
xviii, 423p. : |
| Other physical details |
illustrations (black and white) ; |
| Dimensions |
26 cm. |
| 500 ## - GENERAL NOTE |
|---|
| General note |
Originally published in Russian in 1958. |
| 500 ## - GENERAL NOTE |
|---|
| General note |
Originally published in English as 5 volume set: New York : Academic Press, 1964-[1968]. |
| 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/>Volume 1 is devoted to basics of the theory of generalized functions. The first chapter contains main definitions and most important properties of generalized functions as functional on the space of smooth functions with compact support. The second chapter talks about the Fourier transform of generalized functions. In Chapter 3, definitions and properties of some important classes of generalized functions are discussed; in particular, generalized functions supported on submanifolds of lower dimension, generalized functions associated with quadratic forms, and homogeneous generalized functions are studied in detail. Many simple basic examples make this book an excellent place for a novice to get acquainted with the theory of generalized functions. A long appendix presents basics of generalized functions of complex variables. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Theory of distributions (Functional analysis) |
| 650 ## - 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. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Shilov, G. E. |
| Fuller form of name |
(Georgiĭ Evgenʹevich) |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Table of Contents |
| Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/chel-377-h-toc.pdf?_gl=1*1d8aj54*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNTk0NDY2MC41LjEuMTcxNTk0NTAyMS4wLjAuMA..">https://www.ams.org/bookstore/pspdf/chel-377-h-toc.pdf?_gl=1*1d8aj54*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNTk0NDY2MC41LjEuMTcxNTk0NTAyMS4wLjAuMA..</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/148442360-generalized-functions?from_search=true&from_srp=true&qid=lCl9Qf8Uo7&rank=1#CommunityReviews">https://www.goodreads.com/book/show/148442360-generalized-functions?from_search=true&from_srp=true&qid=lCl9Qf8Uo7&rank=1#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Book |
| Source of classification or shelving scheme |
Universal Decimal Classification |
