The kernel theorem for Cauchy ultradistribution. (Q1399852)
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scientific article; zbMATH DE number 1957230
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The kernel theorem for Cauchy ultradistribution. |
scientific article; zbMATH DE number 1957230 |
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The kernel theorem for Cauchy ultradistribution. (English)
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30 July 2003
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Because of the popularity currently gained by ultradistribution theory (after the heydays of Schwartz distribution theory) the authors have tried to extend the results concerning kernel theorems to ultradistributions. Some elementary results are proved under the heading ``The kernel theorem''. For the definition of the tube \(T^C= \mathbb{R}^n+ iC\) and some other results the reader is referred to \textit{J. M. C. Joshi} [Ranchi Univ. Math. J. 24 (1993), 53--68 (2000; Zbl 1023.46044)].
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Cauchy integral
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Cauchy kernel function
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ultradifferential operator
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distributions
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ultradistributions
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