000			02841nam a22003497a 4500
003			OSt
005			20240517190936.0
008			240517b |||||||| |||| 00| 0 hin d
020			_a9781470426644
020			_a9781470428853
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041	1		_aEnglish
082	0	0	_a517.98 _bGEL-G
100	1		_aGelʹfand, I. M. _q(Izrailʹ Moiseevich)
245	1	0	_aGeneralized functions, volume 6 : _brepresentation theory and automorphic functions
260			_aProvidence, Rhode Island : _bAmerican Mathematical Society Chelsea Publishing, _c2016.
300			_axvi, 426p. : _billustrations (black and white) ; _c26 cm.
504			_aIncludes bibliographical references and index.
520			_aThe 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. The unifying theme of Volume 6 is the study of representations of the general linear group of order two over various fields and rings of number-theoretic nature, most importantly over local fields (p-adic fields and fields of power series over finite fields) and over the ring of adeles. Representation theory of the latter group naturally leads to the study of automorphic functions and related number-theoretic problems. The book contains a wealth of information about discrete subgroups and automorphic representations, and can be used both as a very good introduction to the subject and as a valuable reference.
650		0	_aTheory of distributions (Functional analysis)
650		0	_aFunctional analysis -- Distributions, generalized functions, distribution spaces -- Distributions, generalized functions, distribution spaces
650		0	_aAutomorphic functions
650		0	_aGroup theory
650		0	_aRepresentations of algebras
650		0	_aRepresentations of groups
650		0	_aSelberg trace formula
700	1		_aGraev, M. I. _q(Mark Iosifovich)
700	1		_aPyatetskii-Shapiro, I. I. _q(Ilʹi︠a︡ Iosifovich)
856			_3Table of Contents _uhttps://www.ams.org/bookstore/pspdf/chel-382-h-toc.pdf?_gl=1*19140hq*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNTk0NDY2MC41LjEuMTcxNTk1MjQwNi4wLjAuMA..
856			_3Reviews _uhttps://www.goodreads.com/book/show/29445003-generalized-functions?ac=1&from_search=true&qid=UveTdGCnft&rank=1#CommunityReviews
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