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Author Country (or Countries)

Jordan

Abstract

Using a previously obtained structure theorem for (w1,w2)-tempered ultradistributions by the classical Riesz representation theorem, we investigate the action of the Ornstein-Uhlenbeck semigroup on (w1,w2)-tempered ultradistributions. As a result, we observe that these tempered ultradistributions can be represented as boundary values to the heat equation ut − Au = 0, for t > 0.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140310

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