EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 34(48), pp. 183--192 (1983)

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THE $a-$TEMPERED DERIVATIVE AND SOME SPACES OF EXPONENTIAL DISTRIBUTIONS

Stevan Pilipovi\'c

Institut za matematiku, Novi Sad, Yugoslavia

Abstract: In this paper we introduce the $a$-tempered integral and the $a$-tempered derivative for which almost all results from [5] can be simply transferred. Using the special sequences of $a$-tempered integrals and and $a$-tempered derivatives, from the point of view of sequential approach, we characterize some subspaces of $D'$. These spaces are of $K\{M_p\}$-type [2] for the special sequences $\{M_p\}$.

Classification (MSC2000): 46Fxx

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Electronic fulltext finalized on: 3 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition