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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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979
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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
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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