Convolution of distributions in sequential approach
Author(s) -
Svetlana Mincheva-Kamińska
Publication year - 2014
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1408543m
Subject(s) - mathematics , convolution (computer science) , equivalence (formal languages) , class (philosophy) , pure mathematics , machine learning , artificial intelligence , artificial neural network , computer science
A new class of special upper approximate units together with the known Vladimirov class of special approximate units are used to consider various sequential conditions of convolvability of distributions. The equivalence of these conditions to the known conditions of convolvability given by C. Chevalley and L. Schwartz is proved together with the equivalence of the corresponding definitions of the convolution of distributions.
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