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Regularity properties of distributions and ultradistributions
Author(s):
S.
Pilipovic;
D.
Scarpalezos
Journal:
Proc. Amer. Math. Soc.
129
(2001),
3531-3537.
MSC (2000):
Primary 46F05, 46F30, 03C20
Posted:
June 28, 2001
MathSciNet review:
1860484
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Abstract:
We give necessary and sufficient conditions for a regularized net of a distribution in an open set  which imply that it is a smooth function or  function in  . We also give necessary and sufficient conditions for an ultradistribution to be an ultradifferentiable function of corresponding class.
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Additional Information:
S.
Pilipovic
Affiliation:
Institute of Mathematics, University of Novi Sad,
Trg D.Obradovica 4, 21000 Novi Sad, Yugoslavia
D.
Scarpalezos
Affiliation:
U.F.R. de Mathématiques, Universite
Paris 7, 2 place Jussieu, Paris 5e, 75005, France
DOI:
10.1090/S0002-9939-01-06013-0
PII:
S 0002-9939(01)06013-0
Received by editor(s):
February 21, 2000
Posted:
June 28, 2001
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2001,
American Mathematical Society
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