On the singularities of the function generated by the Bergman operator of the second kind

P. Rosenthal

Vol. 48 (1973), No. 1, 241–246

DOI: 10.2140/pjm.1973.48.241

Abstract

Let ψ(λ,y) = P₂(f) be Bergman’s integral operator of the second kind with domain of definition

Let f(q) = (q − A)⁻¹,A ∈ W. In this paper it is shown that ψ(λ,y) has singular points z = 2A,2A(1 −w), where w = A⁻¹λ and z = λ + iy.

Mathematical Subject Classification 2000

Primary: 35C15

Milestones

Received: 16 June 1972

Published: 1 September 1973