Theta Functions, Kernel Functions, and Abelian Integrals.
Hejhal, Dennis A.
Theta Functions, Kernel Functions, and Abelian Integrals. - 1st ed. - 1 online resource (119 pages) - Memoirs of the American Mathematical Society ; v.1 . - Memoirs of the American Mathematical Society .
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.
9780821899274
Functions, Theta.
Kernel functions.
Functions, Abelian.
Electronic books.
QA345 -- .H45 1972eb
510/.8 s;515/.98
Theta Functions, Kernel Functions, and Abelian Integrals. - 1st ed. - 1 online resource (119 pages) - Memoirs of the American Mathematical Society ; v.1 . - Memoirs of the American Mathematical Society .
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.
9780821899274
Functions, Theta.
Kernel functions.
Functions, Abelian.
Electronic books.
QA345 -- .H45 1972eb
510/.8 s;515/.98