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A note on the p-adic Kozyrev wavelets basis
Una nota sobre la base de Kozyrev de wavelets p-ádicos
DOI:
https://doi.org/10.15446/recolma.v55n1.99095Palabras clave:
p-Adic numbers, p-Adic wavelets, Sobolev-type spaces (en)Números p-ádicos, wavelets p-ádicos, espacios tipo Sobolev (es)
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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.
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.
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