Embedded eigenvalues and virtual poles

James Secord Howland

Vol. 29 (1969), No. 3, 565–582

DOI: 10.2140/pjm.1969.29.565

Abstract

An embedded eigenvalue of simple multiplicity is perturbed by an operator of finite rank. The resulting spectral concentration is shown to be due to the pole of the continuation of a certain analytic function.

Mathematical Subject Classification

Primary: 47.48

Milestones

Received: 13 June 1968

Published: 1 June 1969