On the Bergman integral operator for an elliptic partial differential equation with a singular coefficient

P. Rosenthal

Vol. 35 (1970), No. 2, 493–497

DOI: 10.2140/pjm.1970.35.493

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