Vol. 35, No. 2, 1970

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ISSN: 0030-8730
On the Bergman integral operator for an elliptic partial differential equation with a singular coefficient

P. Rosenthal

Vol. 35 (1970), No. 2, 493–497
Abstract

Let P2(f) be Bergman’s integral operator of the second kind. In this paper it is shown (1) P2(f) can be uniformly approximated by a linear combination of particular solutions; (2) P2(f) can be analytically continued; (3) P2(f) admits singular points if f is meromorphic.

Mathematical Subject Classification
Primary: 35.05
Secondary: 30.00
Milestones
Received: 12 November 1969
Published: 1 November 1970
Authors
P. Rosenthal