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Action of Ornstein-Uhlenbeck Semigroup on (w1,w2)-Tempered Ultradistributions |
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PP: 441-446 |
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doi:10.18576/amis/140310
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Author(s) |
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Maysam Abu-Dalu,
Ala Qadomi,
Sa’ud Al-Sa’di,
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Abstract |
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| 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.
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