Completely monotone functions of finite order and Agler's conditions

• Autorzy: Sameer Chavan , V. M. Sholapurkar
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 44A10: Laplace transform
• 47A13: Several-variable operator theory (spectral, Fredholm, etc.)
• 43A35: Positive definite functions on groups, semigroups, etc.
• 47B20: Subnormal operators, hyponormal operators, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 226
• Numer: 3
• Strony: 229-258

Daty

wydano

2015

Twórcy

autor

Sameer Chavan

• Indian Institute of Technology Kanpur, Kanpur 208016, India

autor

V. M. Sholapurkar

• Center for Postgraduate Studies, in Mathematics, S. P. College, Pune 411030, India

Identyfikatory

DOI

10.4064/sm226-3-3