S. V. Kozyrev, “$p$-Adic Pseudodifferential Operators and $p$-Adic Wavelets”, TMF, 2004, Volume 138, Number 3,Pages 383

This article is cited in 69 papers

$p$-Adic Pseudodifferential Operators and $p$-Adic Wavelets

S. V. Kozyrev

N. N. Semenov Institute of Chemical Physics, Russian Academy of Sciences

Abstract: We introduce a new wide class of $p$-adic pseudodifferential operators. We show that the basis of $p$-adic wavelets is the basis of eigenvectors for the introduced operators.

Keywords: $p$-adic diffusion.

Received: 15.12.2002
Revised: 15.04.2003

DOI: 10.4213/tmf31