Some remarks on upper bounds for Weierstrass primary factors and their application in spectral theory

Abstract

We study upper bounds on Weierstrass primary factors and discuss their application in spectral theory. One of the main aims of this note is to draw attention to works of Blumenthal and Denjoy from 1910, but we also provide some new results and some numerical computations of our own.

Small corrections + Acknowledgment added. To appear in Complex Anal. Oper. Theory

References in corpus (3)

• Eigenvalue bounds for Schrödinger operators with complex potentials
• A Blaschke-type condition and its application to complex Jacobi matrices
• A remark on analytic Fredholm alternative