Operators commuting with multi-parameter shift semigroups


Oleh LopushanskySergii Sharyn


Abstract

carpathian_2014_30_2_217_224_abstract

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carpathian_2014_30_2_217_224

Using operators of cross-correlation with ultradistributions supported by a positive cone, we describe a commutative algebra of shift-invariant continuous linear operators, commuting with contraction multi-parameter semigroups over a Banach space. Thereby, we generalize classic Schwartz's and Hormander's theorems on shift-invariant operators.

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Author(s)

Lopushansky, Oleh, Sharyn, Sergii