Subordinated Multiparameter Groups of Linear Operators: Properties via the Transference Principle

Boris Baeumer (), Mihály Kovács () and Mark M. Meerschaert ()
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Boris Baeumer: University of Otago, Department of Mathematics
Mihály Kovács: University of Otago, Department of Mathematics
Mark M. Meerschaert: Michigan State University, Department of Statistics & Probability

A chapter in Functional Analysis and Evolution Equations, 2007, pp 35-50 from Springer

Abstract: Abstract In this article we explore properties of subordinated d-parameter groups. We show that they are semi-groups, inheriting the properties of the subordinator via a transference principle. Applications range from infinitely divisible processes on a torus to the definition of inhomogeneous d-dimensional fractional derivative operators.

Keywords: Transference principle; fractional powers; subordination; fractional derivatives (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7643-7794-6_3

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DOI: 10.1007/978-3-7643-7794-6_3

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