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Beurling Distributions and Hankel Transforms
Author(s) -
Belhadj Mohamed,
Betancor Jorge J.
Publication year - 2002
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 - 10.1002/1522-2616(200201)233:1<19::aid-mana19>3.0.co;2-b
Subject(s) - mathematics , convolution (computer science) , hankel transform , type (biology) , pure mathematics , distribution (mathematics) , mathematical analysis , algebra over a field , bessel function , ecology , machine learning , artificial neural network , computer science , biology
In this paper we present Beurling type distributions involving Hankel transforms. Multipliers and Hankel convolution operators are studied on the new function and distribution spaces. Theories developed earlier by A. H. Zemanian [51] and G. Altenburg [1] appear now as special cases of our theory.