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| Author(s) | Lopushansky, Oleh, Sharyn, Sergii |
|---|
Operators commuting with multi-parameter shift semigroups
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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