000			03298nam a22004813i 4500
001			EBC3113945
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005			20240729124555.0
006			m o d |
007			cr cnu||||||||
008			240724s1990 xx o ||||0 eng d
020			_a9781470408466 _q(electronic bk.)
020			_z9780821824863
035			_a(MiAaPQ)EBC3113945
035			_a(Au-PeEL)EBL3113945
035			_a(CaPaEBR)ebr10918898
035			_a(OCoLC)891396755
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA295 -- .W664 1990eb
082	0		_a515/.243
100	1		_aWong, Shek-Tung.
245	1	0	_aMeromorphic Continuation and Functional Equations of Cuspidal Eisenstein Series for Maximal Cuspidal Subgroups.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1990.
264		4	_c©1990.
300			_a1 online resource (225 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.83
505	0		_aIntro -- TABLE OF CONTENTS -- INTRODUCTION -- CHAPTER 1 THE DEFINITION AND BASIC PROPERTIES OF THE EISENSTEIN SERIES -- 1.1. Introduction -- 1.2. Prerequisites for the Eisenstein Series -- 1.3. The Eisenstein Series -- 1.4. Selberg's Eigenfunction Principle -- CHAPTER 2 THE COMPACT OPERATORS -- 2.1. Introduction -- 2.2. Construction of Kernel -- 2.3. Convolutions on L[sup(2)](Γ \ G) -- 2.4. Definition of Compact Operators -- CHAPTER 3 FREDHOLM EQUATIONS -- 3.1. Introduction -- 3.2. The Constant Terms of Eisenstein Series -- 3.3. Convolution with Functions Depending on a Complex Parameter -- 3.4. Projection of the Constant Terms of Eisenstein Series -- 3.5. Truncation of the Eisenstein Series -- 3.6. Holomorphicity of Fredholm Solutions -- CHAPTER 4 ANALYTIC CONTINUATION -- 4.1. Introduction -- 4.2. A System of Linear Equations in φ(J | Λ) -- 4.3. Uniqueness of Solution -- 4.4. Meromorphicity of φ(J | Λ) and the Eisenstein Series -- CHAPTER 5 FUNCTIONAL EQUATIONS -- 5.1. Introduction -- 5.2. Functional Equations -- CHAPTER 6 THE GENERAL CASE OF SEVERAL CUSPS -- 6.1. Introduction -- 6.2. The Definition and Basic Properties of the Eisenstein Series -- 6.3. The Compact Operators -- 6.4. Fredholm Equations -- 6.5. Analytic Continuation -- 6.6. Functional Equations -- REFERENCES.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aEisenstein series.
650		0	_aAutomorphic forms.
650		0	_aDecomposition (Mathematics).
650		0	_aSpectral theory (Mathematics).
655		4	_aElectronic books.
776	0	8	_iPrint version: _aWong, Shek-Tung _tMeromorphic Continuation and Functional Equations of Cuspidal Eisenstein Series for Maximal Cuspidal Subgroups _dProvidence : American Mathematical Society,c1990 _z9780821824863
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113945 _zClick to View
999			_c69476 _d69476