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Revista Colombiana de Matemáticas
Print version ISSN 0034-7426
Rev.colomb.mat. vol.55 no.1 Bogotá Jan./June 2021 Epub Nov 04, 2021
https://doi.org/10.15446/recolma.v55n1.99095
Original articles
A note on the p-adic Kozyrev wavelets basis
Una nota sobre la base de Kozyrev de wavelets p-ádicos
1 Universidad de Sucre, Sincelejo, Colombia
We present a basis of p-adic wavelets for Sobolev-type spaces consisting of eigenvectors of certain pseudodifferential operators. Our result extends a well-known result due to S. Kozyrev.
Keywords: p-Adic numbers; p-Adic wavelets; Sobolev-type spaces
Presentamos una base de wavelets p-ádica para espacios de tipo Sobolev que consiste de vectores propios de ciertos operadores pseudodiferenciales. Nuestro resultado extiende un conocido resultado debido a S. Kozyrev.
Palabras clave: Números p-ádicos; wavelets p-ádicos; espacios tipo Sobolev
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Received: May 27, 2019; Accepted: April 01, 2020
This is an open-access article distributed under the terms of the Creative Commons Attribution License
