The kernel theorem for Cauchy ultradistribution
Copyright policy )The kernel theorem for Cauchy ultradistribution
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)].
- The University of Texas System United States
- University of Texas–Pan American United States
Ultradistributions, Ultradifferential operator, Distributions and ultradistributions as boundary values of analytic functions, Cauchy integral, ultradistributions, Applied Mathematics, distributions, Cauchy kernel function, Distributions, ultradifferential operator, Analysis
Ultradistributions, Ultradifferential operator, Distributions and ultradistributions as boundary values of analytic functions, Cauchy integral, ultradistributions, Applied Mathematics, distributions, Cauchy kernel function, Distributions, ultradifferential operator, Analysis
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