Book contents
- Frontmatter
- Contents
- Preface
- 0 Introduction
- I Basic material on SL2(ℝ), discrete subgroups, and the upper half-plane
- II Automorphic forms and cusp forms
- 5 Growth conditions. Automorphic forms
- 6 Poincaré series
- 7 Constant term: the fundamental estimate
- 8 Finite dimensionality of the space of automorphic forms of a given type
- 9 Convolution operators on cuspidal functions
- III Eisenstein series
- IV Spectral decomposition and representations
- References
- Notation index
- Subject index
6 - Poincaré series
from II - Automorphic forms and cusp forms
Published online by Cambridge University Press: 07 October 2011
- Frontmatter
- Contents
- Preface
- 0 Introduction
- I Basic material on SL2(ℝ), discrete subgroups, and the upper half-plane
- II Automorphic forms and cusp forms
- 5 Growth conditions. Automorphic forms
- 6 Poincaré series
- 7 Constant term: the fundamental estimate
- 8 Finite dimensionality of the space of automorphic forms of a given type
- 9 Convolution operators on cuspidal functions
- III Eisenstein series
- IV Spectral decomposition and representations
- References
- Notation index
- Subject index
Summary

- Type
- Chapter
- Information
- Automorphic Forms on SL2 (R) , pp. 65 - 69Publisher: Cambridge University PressPrint publication year: 1997