Completely monotone functions of finite order and Agler's conditions

Sameer Chavan, and V. M. Sholapurkar. "Completely monotone functions of finite order and Agler's conditions." Studia Mathematica 226.3 (2015): 229-258. <http://eudml.org/doc/285610>.

@article{SameerChavan2015,
abstract = {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.},
author = {Sameer Chavan, V. M. Sholapurkar},
journal = {Studia Mathematica},
keywords = {completely monotone; completely alternating; joint subnormal; joint -isometry},
language = {eng},
number = {3},
pages = {229-258},
title = {Completely monotone functions of finite order and Agler's conditions},
url = {http://eudml.org/doc/285610},
volume = {226},
year = {2015},
}

TY - JOUR
AU - Sameer Chavan
AU - V. M. Sholapurkar
TI - Completely monotone functions of finite order and Agler's conditions
JO - Studia Mathematica
PY - 2015
VL - 226
IS - 3
SP - 229
EP - 258
AB - 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.
LA - eng
KW - completely monotone; completely alternating; joint subnormal; joint -isometry
UR - http://eudml.org/doc/285610
ER -