Vol. 71, No. 2, 1977

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The exact Bergman kernel and the kernels of Szegő type

Saburou Saitoh

Vol. 71 (1977), No. 2, 545–557
Abstract

A relation between the magnitudes of the exact Bergman kernel and a product of two kernels of Szegő type is given. The method is turned to the establishment of a positive definiteness of a period matrix of a product of two kernels of Szegő type. The positive definiteness leads to some completeness theorems of such products.

Mathematical Subject Classification
Primary: 30A52, 30A52
Milestones
Received: 30 August 1976
Published: 1 August 1977
Authors
Saburou Saitoh