Displaying similar documents to “Admissible Slopes for Monotone and Convex Interpolation.”

Completely monotone functions of finite order and Agler's conditions

Sameer Chavan, V. M. Sholapurkar (2015)

Studia Mathematica

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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 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. ...