MARC details
| 000 -LEADER |
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| fixed length control field |
03143nam a22003497a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240517172545.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240517b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470426590 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470428853 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| Transcribing agency |
NISER LIBRARY |
| 041 1# - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
English |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| 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 |
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| Title |
Generalized functions, volume 2 : |
| Remainder of title |
spaces of fundamental and generalized functions. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| 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 |
x, 261p. : |
| Other physical details |
illustrations (black and white) ; |
| Dimensions |
26 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| 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 2 is devoted to detailed study of generalized functions as linear functionals on appropriate spaces of smooth test functions. In Chapter 1, the authors introduce and study countable-normed linear topological spaces, laying out a general theoretical foundation for the analysis of spaces of generalized functions. The two most important classes of spaces of test functions are spaces of compactly supported functions and Schwartz spaces of rapidly decreasing functions. In Chapters 2 and 3 of the book, the authors transfer many results presented in Volume 1 to generalized functions corresponding to these more general spaces. Finally, Chapter 4 is devoted to the study of the Fourier transform; in particular, it includes appropriate versions of the Paley–Wiener theorem. |
| 521 ## - TARGET AUDIENCE NOTE |
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| Target audience note |
Graduate students and research mathematicians interested in analysis and differential equations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Theory of distributions (Functional analysis) |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| 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 |
Functional analysis |
| General subdivision |
Numerical solutions. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Functional equations |
| General subdivision |
Numerical solutions. |
| 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 |
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-378-h-toc.pdf?_gl=1*15xj5hz*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNTk0NDY2MC41LjEuMTcxNTk0NTU5OC4wLjAuMA..">https://www.ams.org/bookstore/pspdf/chel-378-h-toc.pdf?_gl=1*15xj5hz*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNTk0NDY2MC41LjEuMTcxNTk0NTU5OC4wLjAuMA..</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/29444999-generalized-functions-volume-2?from_search=true&from_srp=true&qid=FAs6fCsF3o&rank=1#CommunityReviews">https://www.goodreads.com/book/show/29444999-generalized-functions-volume-2?from_search=true&from_srp=true&qid=FAs6fCsF3o&rank=1#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Book |
| Source of classification or shelving scheme |
Universal Decimal Classification |
