Interpolations of Bargmann Type Measures
Asai Nobuhiro, Krystek Anna Dorota, Wojakowski Łukasz Jan
Demonstratio Mathematica · 2016
doi:10.1515/dema-2016-0025 (opens in a new tab)
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Abstract
In this paper, we shall discuss Bargmann type measures on C for several classes of probability measures on R. The unified interpolation expressions include not only the classical Bargmann measure and its q-deformation, but also their t-deformations and dilations. As a special case, we get conditions on existence and an explicit form of the Bargmann representation for the free Meixner family of probability measures.
Abstract licence: CC BY
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