Theta Functions Kernel Functions and Abelian Integrals is popular PDF and ePub book, written by Dennis A. Hejhal in 1972, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Theta Functions Kernel Functions and Abelian Integrals can be Read Online from any device for your convenience.
Theta Functions Kernel Functions and Abelian Integrals Book PDF Summary
This monograph presents many interesting results, old and new, about theta functions, Abelian integrals and kernel functions on closed Riemann surfaces. It begins with a review of classical kernel function theory for plane domains. Next there is a discussion of function theory on closed Riemann surfaces, leading to explicit formulas for Szegö kernels in terms of the Klein prime function and theta functions. Later sections develop explicit relations between the classical Szegö and Bergman kernels and between the Szegö and modified (semi-exact) Bergman kernels. The author's results allow him to solve an open problem mentioned by L. Sario and K. Oikawa in 1969.
Detail Book of Theta Functions Kernel Functions and Abelian Integrals PDF
- Author : Dennis A. Hejhal
- Release : 21 September 1972
- Publisher : American Mathematical Soc.
- ISBN : 9780821818299
- Genre : Mathematics
- Total Page : 119 pages
- Language : English
- PDF File Size : 14,7 Mb
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