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On the Generalization of Vladimirov and Wightman Generalized Functions
Author(s) -
Trione Susana Elena
Publication year - 1997
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/1467-9590.00047
Subject(s) - multiplicative function , generalization , mathematics , type (biology) , mathematical physics , mathematical analysis , geology , paleontology
In this article we generalize to R n the Vladimirov generalized functions and the Wightman‐type generalized functions. Our results are the formulae (I,1;1), (I,1;3), (I,1;4), (I,1;5), (I,2;1), (II,1;2), (II,1;3), (II,1;4), and (II,1;6). Here, we also introduce an n ‐ dimensional multiplicative products of the Wightman‐type generalized functions (cf. formula (II,2;4)).