TY - BOOK AU - Hejhal,Dennis A. TI - Theta functions, kernel functions, and Abelian integrals, T2 - Memoirs of the American Mathematical Society, SN - 9780821899274 (online) AV - QA3QA345 .A57 no. 129 U1 - 510/.8 s515/.98 PY - 1972///] CY - [Providence R.I. PB - American Mathematical Society KW - Functions, Theta KW - Kernel functions KW - Functions, Abelian N1 - Includes bibliographical references; 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 Szeg�o kernels; 5. Existence proof for the classical Szeg�o kernel function; 6. On the number of Szeg�o 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0129 UR - http://dx.doi.org/10.1090/memo/0129 ER -