Description
Book SynopsisIntended 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 automorphic forms on a bounded domain; it presents H. Car
Table of Contents*Frontmatter, pg. i*Introduction, pg. v*Contents, pg. xi*Supplementary Notational References, pg. xv*Chapter 1. General Notions and Examples, pg. 3*Chapter 2. Analytic Functions and Analytic Spaces, pg. 10*Chapter 3. Holomorphic Functions and Mappings on a Bounded Domain, pg. 26*Chapter 4. Analysis on Domains in Cn, pg. 34*Chapter 5. Automorphic forms on bounded domains, pg. 43*Chapter 6. Examples for algebraic groups, pg. 53*Chapter 7. Algebraic groups, pg. 82*Chapter 8. Representations of compact groups, pg. 102*Chapter 9. Some work of Harish-Chandra, pg. 130*Chapter 10. Functional analysis for automorphic forms, pg. 169*Chapter 11. Construction of automorphic forms, pg. 186*Chapter 12. Fourier Coefficients of Eisenstein Series, pg. 225*Chapter 13. Theta Functions and Automorphic Forms, pg. 243*Bibliography, pg. 253*Index, pg. 259
