The meromorphic continuation and functional equations of cuspidal Eisenstein series for maximal cuspidal groups / / Shek-Tung Wong
| The meromorphic continuation and functional equations of cuspidal Eisenstein series for maximal cuspidal groups / / Shek-Tung Wong |
| Autore | Wong Shek-Tung <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1990 |
| Descrizione fisica | 1 online resource (225 p.) |
| Disciplina | 515/.243 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Eisenstein series
Automorphic forms Decomposition (Mathematics) Spectral theory (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0846-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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)](Î? \ 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 Ï?(J | Î?)""; ""4.3. Uniqueness of Solution""; ""4.4. Meromorphicity of Ï?(J | Î?) 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"" |
| Record Nr. | UNINA-9910480190003321 |
Wong Shek-Tung <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1990 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The meromorphic continuation and functional equations of cuspidal Eisenstein series for maximal cuspidal groups / / Shek-Tung Wong
| The meromorphic continuation and functional equations of cuspidal Eisenstein series for maximal cuspidal groups / / Shek-Tung Wong |
| Autore | Wong Shek-Tung <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1990 |
| Descrizione fisica | 1 online resource (225 p.) |
| Disciplina | 515/.243 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Eisenstein series
Automorphic forms Decomposition (Mathematics) Spectral theory (Mathematics) |
| ISBN | 1-4704-0846-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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)](Î? \ 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 Ï?(J | Î?)""; ""4.3. Uniqueness of Solution""; ""4.4. Meromorphicity of Ï?(J | Î?) 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"" |
| Record Nr. | UNINA-9910788873103321 |
Wong Shek-Tung <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1990 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The meromorphic continuation and functional equations of cuspidal Eisenstein series for maximal cuspidal groups / / Shek-Tung Wong
| The meromorphic continuation and functional equations of cuspidal Eisenstein series for maximal cuspidal groups / / Shek-Tung Wong |
| Autore | Wong Shek-Tung <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1990 |
| Descrizione fisica | 1 online resource (225 p.) |
| Disciplina | 515/.243 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Eisenstein series
Automorphic forms Decomposition (Mathematics) Spectral theory (Mathematics) |
| ISBN | 1-4704-0846-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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)](Î? \ 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 Ï?(J | Î?)""; ""4.3. Uniqueness of Solution""; ""4.4. Meromorphicity of Ï?(J | Î?) 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"" |
| Record Nr. | UNINA-9910827762903321 |
Wong Shek-Tung <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1990 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||