LEADER 03380nam 2200613 450 001 9910480190003321 005 20170816143322.0 010 $a1-4704-0846-5 035 $a(CKB)3360000000464607 035 $a(EBL)3113945 035 $a(SSID)ssj0000889061 035 $a(PQKBManifestationID)11452878 035 $a(PQKBTitleCode)TC0000889061 035 $a(PQKBWorkID)10876263 035 $a(PQKB)11593371 035 $a(MiAaPQ)EBC3113945 035 $a(PPN)195413067 035 $a(EXLCZ)993360000000464607 100 $a20140909h19901990 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe meromorphic continuation and functional equations of cuspidal Eisenstein series for maximal cuspidal groups /$fShek-Tung Wong 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1990. 210 4$dİ1990 215 $a1 online resource (225 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vNumber 423 300 $a"January 1990, Volume 83, Number 423 (fifth of 6 numbers)." 311 $a0-8218-2486-4 320 $aIncludes bibliographical references. 327 $a""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)](I?? \ G)""; ""2.4. Definition of Compact Operators""; ""CHAPTER 3 FREDHOLM EQUATIONS""; ""3.1. Introduction""; ""3.2. The Constant Terms of Eisenstein Series"" 327 $a""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 I??(J | I??)""; ""4.3. Uniqueness of Solution""; ""4.4. Meromorphicity of I??(J | I??) 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"" 327 $a""6.2. The Definition and Basic Properties of the Eisenstein Series""""6.3. The Compact Operators""; ""6.4. Fredholm Equations""; ""6.5. Analytic Continuation""; ""6.6. Functional Equations""; ""REFERENCES"" 410 0$aMemoirs of the American Mathematical Society ;$vNumber 423. 606 $aEisenstein series 606 $aAutomorphic forms 606 $aDecomposition (Mathematics) 606 $aSpectral theory (Mathematics) 608 $aElectronic books. 615 0$aEisenstein series. 615 0$aAutomorphic forms. 615 0$aDecomposition (Mathematics) 615 0$aSpectral theory (Mathematics) 676 $a515/.243 700 $aWong$b Shek-Tung$f1956-$0992178 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480190003321 996 $aThe meromorphic continuation and functional equations of cuspidal Eisenstein series for maximal cuspidal groups$92271297 997 $aUNINA