TY - BOOK AU - Hejhal,Dennis A. TI - Theta Functions, Kernel Functions, and Abelian Integrals T2 - Memoirs of the American Mathematical Society SN - 9780821899274 AV - QA345 -- .H45 1972eb U1 - 510/.8 s;515/.98 PY - 1972/// CY - Providence PB - American Mathematical Society KW - Functions, Theta KW - Kernel functions KW - Functions, Abelian KW - Electronic books N1 - Intro -- Table of Contents -- Introduction -- I. Review of the classical kernels -- II. Preliminaries on cross-cuts, periods, and the automorphic group -- III. The Klein prime function -- IV. Factorization theorems for differentials and Szegö kernels -- V. Existence proof for the classical Szegö kernel function -- VI. On the number of Szegö kernels -- VII. Some remarks on classical kernels and theta functions -- VIII. Kernels and Abelian differentials -- IX. Generalizations -- X. Some further identities -- XI. The elliptic case -- XII. A method of duality -- Addenda -- References UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113606 ER -