Motivated by some structural properties of Drury-Arveson d-shift, we investigate a class of functions consisting of polynomials and completely monotone functions defined on the semi-group ℕ of non-negative integers, and its operator-theoretic counterpart which we refer to as the class of completely hypercontractive tuples of finite order. We obtain a Lévy-Khinchin type integral representation for the spherical generating tuples associated with such operator tuples and discuss its applications.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm226-3-3,
author = {Sameer Chavan and V. M. Sholapurkar},
title = {Completely monotone functions of finite order and Agler's conditions},
journal = {Studia Mathematica},
volume = {231},
year = {2015},
pages = {229-258},
zbl = {1333.47011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm226-3-3}
}
Sameer Chavan; V. M. Sholapurkar. Completely monotone functions of finite order and Agler's conditions. Studia Mathematica, Tome 231 (2015) pp. 229-258. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm226-3-3/