Table of Contents
Table of Contents
Preface
Chapter 1. From Holomorphic to Polygenic Functions
Chapter 2. Algebraic Functions
Chapter 3. From Analytic Spaces to Riemann Surfaces
Chapter 4. Abelian Integrals
Chapter 5. Dianalytic Structures and Klein Surfaces
Chapter 6. Elliptic Functions
Chapter 7. Automorphic Functions
Chapter 8. Fuchsian Groups
Chapter 9. Fractional Linear Transformations
Chapter 10. Kleinian Groups
Chapter 11. The Heisenberg Group
Chapter 12. Spectral Zeta-Functions
Index
Audience
Graduate students and advanced undergraduates. Research workers in mathematics and theoretical physics.
Keywords
Polygenic functions; elliptic functions; automorphic functions; Fuchsian groups; Kleinian groups.