Geodesic
Completely monotone functions of finite order and Agler's conditions
Sameer Chavan1 ; V. M. Sholapurkar2
1 Indian Institute of Technology Kanpur Kanpur 208016, India
2 Center for Postgraduate Studies in Mathematics S. P. College Pune 411030, India
Studia Mathematica, Tome 226 (2015) no. 3, pp. 229-258 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\mathbb N$ 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.
DOI : 10.4064/sm226-3-3
Keywords: motivated structural properties drury arveson d shift investigate class functions consisting polynomials completely monotone functions defined semi group mathbb non negative integers its operator theoretic counterpart which refer class completely hypercontractive tuples finite order obtain khinchin type integral representation spherical generating tuples associated operator tuples discuss its applications

Sameer Chavan 1 ; V. M. Sholapurkar 2

1 Indian Institute of Technology Kanpur Kanpur 208016, India
2 Center for Postgraduate Studies in Mathematics S. P. College Pune 411030, India 
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 of finite order and Agler's conditions
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Sameer Chavan; V. M. Sholapurkar. Completely monotone functions
 of finite order and Agler's conditions. Studia Mathematica, Tome 226 (2015) no. 3, pp. 229-258. doi: 10.4064/sm226-3-3

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