Electronic Resource
Springer
Integral equations and operator theory
25 (1996), S. 35-57
ISSN:
1420-8989
Keywords:
30H05
;
30D55
;
30F10
;
30E05
;
47B20
;
47A57
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Associated with a boundedg-holed (g≥0) planar domainD are two types of reproducing kernel Hilbert spaces of meromorphic functions onD. We give explicit formulas for the reproducing kernel functions of these spaces. The formulas are in terms of theta functions defined on the Jacobian variety of the Schottky double of the regionD. As applications we settle a conjecture of Abrahamse concerning Nevalinna-Pick interpolation on an annulus and obtain explicit formulas for the curvature (in the sense of Cowen and Douglas) of rank 1 bundle shift operators.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01192041
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