A note on the p-adic Kozyrev wavelets basis-Reference-Cited by-同舟云学术

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A note on the p-adic Kozyrev wavelets basis

Published:2021-10-19 Issue:1 Volume:55 Page:1-12
ISSN:2357-4100
Container-title:Revista Colombiana de Matemáticas
language:
Short-container-title:rev.colomb.mat

Author:

Arroyo-Ortiz Edilberto

Abstract

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.

Publisher

Universidad Nacional de Colombia

Subject

General Mathematics

Reference16 articles.

1. S. Albeverio, A. Yu. Khrennikov, and V. M. Shelkovich, Theory of p-adic distributions: linear and nonlinear models, Cambridge University Press, 2010.

2. S. Albeverio and S. V. Kozyrev, Multidimensional basis of p-adic wavelets and representation theory, p-Adic Numbers Ultrametric Anal. Appl 1(3) (2009), 181-189.

3. E. Arroyo-Ortiz and W. A. Zu~niga-Galindo, Construction of p-adic covariant quantum elds in the framework of white noise analysis, Reports on Mathematical Physics 84 (2019), no. (1), 1-34.

4. L. Brekke, P. G. O. Freund, M. Olson, and E. Witten, Nonarchimedean string dynamics, Nucl. Phys B302 (1988), no. (3), 365-402.

5. A. Yu. Khrennikov, Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models, Kluwer Academics, Dordrecht, 1997.

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