Introductory Lectures on Automorphic Forms / / Walter L. Baily.
Intended as an introductory guide, this work takes for its subject complex, analytic, automorphic forms and functions on (a domain equivalent to) a bounded domain in a finite-dimensional, complex, vector space, usually denoted Cn).Part I, essentially elementary, deals with complex analytic automorph...
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Superior document: | Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979 |
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VerfasserIn: | |
Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2015] ©1973 |
Year of Publication: | 2015 |
Language: | English |
Series: | Publications of the Mathematical Society of Japan ;
1810 |
Online Access: | |
Physical Description: | 1 online resource (280 p.) |
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Table of Contents:
- Frontmatter
- Introduction
- Contents
- Supplementary Notational References
- PART I. Elementary Theory of Automorphic Forms on a Bounded Domain
- Chapter 1. General Notions and Examples
- Chapter 2. Analytic Functions and Analytic Spaces
- Chapter 3. Holomorphic Functions and Mappings on a Bounded Domain
- Chapter 4. Analysis on Domains in Cn
- Chapter 5. Automorphic forms on bounded domains
- Part II. Automorphic forms on a bounded symmetric domain and analysis on a semi-simple Lie group
- Chapter 6. Examples for algebraic groups
- Chapter 7. Algebraic groups
- Chapter 8. Representations of compact groups
- Chapter 9. Some work of Harish-Chandra
- Chapter 10. Functional analysis for automorphic forms
- Chapter 11. Construction of automorphic forms
- Part III. Some special topics
- Chapter 12. Fourier Coefficients of Eisenstein Series
- Chapter 13. Theta Functions and Automorphic Forms
- Bibliography
- Index