Regularity properties of distributions and ultradistributions
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- by S. Pilipović and D. Scarpalezos PDF
- Proc. Amer. Math. Soc. 129 (2001), 3531-3537 Request permission
Abstract:
We give necessary and sufficient conditions for a regularized net of a distribution in an open set $\Omega$ which imply that it is a smooth function or $C^k$ function in $\Omega$. We also give necessary and sufficient conditions for an ultradistribution to be an ultradifferentiable function of corresponding class.References
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Additional Information
- S. Pilipović
- Affiliation: Institute of Mathematics, University of Novi Sad, Trg D.Obradovića 4, 21000 Novi Sad, Yugoslavia
- D. Scarpalezos
- Affiliation: U.F.R. de Mathématiques, Universite Paris 7, 2 place Jussieu, Paris 5$\buildrel e \over {}$, 75005, France
- Received by editor(s): February 21, 2000
- Published electronically: June 28, 2001
- Communicated by: Jonathan M. Borwein
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 3531-3537
- MSC (2000): Primary 46F05, 46F30, 03C20
- DOI: https://doi.org/10.1090/S0002-9939-01-06013-0
- MathSciNet review: 1860484