Book contents
- Frontmatter
- Dedication
- Contents
- Definitions and Theorems
- Examples
- Preface
- 1 Motivation and Background
- Part One Automorphic Representations
- 2 Preliminaries on p-adic and Adelic Technology
- 3 Basic Notions from Lie Algebras and Lie Groups
- 4 Automorphic Forms
- 5 Automorphic Representations and Eisenstein Series
- 6 Whittaker Functions and Fourier Coefficients
- 7 Fourier Coefficients of Eisenstein Series on SL(2,A)
- 8 Langlands Constant Term Formula
- 9 Whittaker Coefficients of Eisenstein Series
- 10 Analysing Eisenstein Series and Small Representations
- 11 Hecke Theory and Automorphic L-functions
- 12 Theta Correspondences
- Part Two Applications in String Theory
- Part Three Advanced Topics
- Appendices
- References
- Index
10 - Analysing Eisenstein Series and Small Representations
from Part One - Automorphic Representations
Published online by Cambridge University Press: 29 June 2018
Book contents
- Frontmatter
- Dedication
- Contents
- Definitions and Theorems
- Examples
- Preface
- 1 Motivation and Background
- Part One Automorphic Representations
- 2 Preliminaries on p-adic and Adelic Technology
- 3 Basic Notions from Lie Algebras and Lie Groups
- 4 Automorphic Forms
- 5 Automorphic Representations and Eisenstein Series
- 6 Whittaker Functions and Fourier Coefficients
- 7 Fourier Coefficients of Eisenstein Series on SL(2,A)
- 8 Langlands Constant Term Formula
- 9 Whittaker Coefficients of Eisenstein Series
- 10 Analysing Eisenstein Series and Small Representations
- 11 Hecke Theory and Automorphic L-functions
- 12 Theta Correspondences
- Part Two Applications in String Theory
- Part Three Advanced Topics
- Appendices
- References
- Index
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- Eisenstein Series and Automorphic RepresentationsWith Applications in String Theory, pp. 219 - 254Publisher: Cambridge University PressPrint publication year: 2018