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The Hankel Convolution and the Zemanian Spaces β μ and β' μ
Author(s) -
Betancor J. J.,
Marrero I.
Publication year - 1993
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.3211600113
Subject(s) - mathematics , convolution (computer science) , bounded function , pure mathematics , convolution power , algebra over a field , mathematical analysis , discrete mathematics , fourier transform , fourier analysis , machine learning , artificial neural network , computer science , fractional fourier transform
In this paper we give structure theorems for the elements of the Zemanian spaces β' μ and β' μ,a ' Also, bounded sets and convergent sequences in β' μ,a ' are characterized through representations as derivatives of measurable functions. Finally, we analyze the Hankel convolution on the above spaces.