A moment problem for positive measures on the unit disc

Aharon Atzmon

Vol. 59 (1975), No. 2, 317–325

DOI: 10.2140/pjm.1975.59.317

Abstract

A necessary and sufficient condition on an infinite matrix (α_m,n)_m,n=0^∞ is given for the existence of a positive Borel measure μ on the closed unit disc D in the complex plane such that

holds for all nonnegative integers m;n.

Mathematical Subject Classification 2000

Primary: 30A80

Secondary: 47B37

Milestones

Received: 28 January 1975

Revised: 12 June 1975

Published: 1 August 1975