TITLE

Pseudo-Differential Operators in the p-Adic Lizorkin Space

AUTHOR(S)
Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M.
PUB. DATE
March 2006
SOURCE
AIP Conference Proceedings;2006, Vol. 826 Issue 1, p195
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The p-adic Lizorkin type spaces of test functions and distributions are introduced and a class of pseudo-differential operators on this spaces are constructed. The p-adic Lizorkin spaces are invariant under the above-mentioned pseudo-differential operators. This class of pseudo-differential operators contains the Taibleson fractional operators. Solutions of pseudo-differential equations are also constructed. © 2006 American Institute of Physics
ACCESSION #
20361888

 

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