Hankel vector moment sequences and the non-tangential regularity at infinity of two variable Pick functions

Authors

Jim Agler, University of California - San Diego
John E. McCarthy, Washington University in St LouisFollow

Author's Department

Mathematics

Document Type

Article

Publication Date

2014

Abstract

A Pick function of variables is a holomorphic map from to , where is the upper halfplane. Some Pick functions of one variable have an asymptotic expansion at infinity, a power series with real numbers that gives an asymptotic expansion on non-tangential approach regions to infinity. In 1921 H. Hamburger characterized which sequences can occur. We give an extension of Hamburger's results to Pick functions of two variables.

Comments

First published in Transactions of the American Mathematical Society in volume 366, issue 3, 2014, published by the American Mathematical Society. © Copyright 2013 American Mathematical Society. The copyright for this article reverts to public domain 28 years after publication. DOI: http://dx.doi.org/10.1090/S0002-9947-2013-05952-1

Recommended Citation

Agler, Jim and McCarthy, John E., "Hankel vector moment sequences and the non-tangential regularity at infinity of two variable Pick functions" (2014). Mathematics Faculty Publications. 14.
https://openscholarship.wustl.edu/math_facpubs/14

Embargo Period

12-31-2013