Theta functions, kernel functions, and Abelian integrals

Theta functions, kernel functions, and Abelian integrals by Dennis A. Hejhal.

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Bibliographic Details
Main Author: Hejhal, Dennis A.
Format: eBook
Language:English
Published: [Providence R.I.] [American Mathematical Society], [1972]
Series:Memoirs of the American Mathematical Society ; no. 129.
Subjects:
Functions, Theta.
Kernel functions.
Functions, Abelian.
Functions, Abelian
Functions, Theta
Kernel functions
Online Access:Click for online access
Table of Contents:
  • Introduction 1. Review of the classical kernels 2. Preliminaries on cross-cuts, periods, and the automorphic group 3. The Klein prime function 4. Factorization theorems for differentials and Szegö kernels 5. Existence proof for the classical Szegö kernel function 6. On the number of Szegö kernels 7. Some remarks on classical kernels and theta functions 8. Kernels and Abelian differentials 9. Generalizations 10. Some further identities 11. The elliptic case 12. A method of duality Addenda.

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