MARC details
| 000 -LEADER |
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| fixed length control field |
03108nam a22003137a 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 |
20240517185235.0 |
| 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 |
9781470426637 |
| 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) |
| 245 10 - TITLE STATEMENT |
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| Title |
Generalized functions, volume 5 : |
| Remainder of title |
integral geometry and representation theory |
| 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 |
xvii, 449p. : |
| 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/>The unifying idea of Volume 5 in the series is the application of the theory of generalized functions developed in earlier volumes to problems of integral geometry, to representations of Lie groups, specifically of the Lorentz group, and to harmonic analysis on corresponding homogeneous spaces. The book is written with great clarity and requires little in the way of special previous knowledge of either group representation theory or integral geometry; it is also independent of the earlier volumes in the series. The exposition starts with the definition, properties, and main results related to the classical Radon transform, passing to integral geometry in complex space, representations of the group of complex unimodular matrices of second order, and harmonic analysis on this group and on most important homogeneous spaces related to this group. The volume ends with the study of representations of the group of real unimodular matrices of order two. |
| 521 ## - TARGET AUDIENCE NOTE |
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| Target audience note |
Graduate students and research mathematicians interested in integral geometry and representation theory. |
| 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 |
Integral geometry |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Graev, M. I. |
| Fuller form of name |
(Mark Iosifovich) |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Vilenkin, N, Ya. |
| Fuller form of name |
(Naum I︠A︡kovlevich) |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Table of Contents |
| Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/chel-381-h-toc.pdf?_gl=1*3o2xxs*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNTk0NDY2MC41LjEuMTcxNTk1MjEyMC4wLjAuMA..">https://www.ams.org/bookstore/pspdf/chel-381-h-toc.pdf?_gl=1*3o2xxs*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNTk0NDY2MC41LjEuMTcxNTk1MjEyMC4wLjAuMA..</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/29445002-generalized-functions?ref=nav_sb_ss_1_13#CommunityReviews">https://www.goodreads.com/book/show/29445002-generalized-functions?ref=nav_sb_ss_1_13#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Book |
| Source of classification or shelving scheme |
Universal Decimal Classification |
