Geodesic
$p$-Adic Pseudodifferential Operators and $p$-Adic Wavelets
Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 3, pp. 383-394

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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.
Mots-clés : $p$-adic diffusion. 
@article{TMF_2004_138_3_a2,
     author = {S. V. Kozyrev},
     title = {$p${-Adic} {Pseudodifferential} {Operators} and $p${-Adic} {Wavelets}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {383--394},
     publisher = {mathdoc},
     volume = {138},
     number = {3},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2004_138_3_a2/}
}
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S. V. Kozyrev. $p$-Adic Pseudodifferential Operators and $p$-Adic Wavelets. Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 3, pp. 383-394. http://geodesic.mathdoc.fr/item/TMF_2004_138_3_a2/