On the Szegő kernel of an annulus

McCullough, Scott; Shen, Li-Chien

doi:10.1090/S0002-9939-1994-1189748-9

On the Szegő kernel of an annulus
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by Scott McCullough and Li-Chien Shen PDF

Proc. Amer. Math. Soc. 121 (1994), 1111-1121 Request permission

Abstract:

In this paper we introduce a class of reproducing kernels of an annulus. Using the properties of the theta functions, we obtain a set of functional equations involving these kernels. We discuss some extremal problems associated with the functional equations.

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