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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.v55n1.99095Schlagworte:
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.
Literaturhinweise
S. Albeverio, A. Yu. Khrennikov, and V. M. Shelkovich, Theory of p-adic distributions: linear and nonlinear models, Cambridge University Press, 2010. DOI: https://doi.org/10.1017/CBO9781139107167
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. DOI: https://doi.org/10.1134/S2070046609030017
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. DOI: https://doi.org/10.1016/S0034-4877(19)30066-7
L. Brekke, P. G. O. Freund, M. Olson, and E. Witten, Nonarchimedean string dynamics, Nucl. Phys B302 (1988), no. (3), 365-402. DOI: https://doi.org/10.1016/0550-3213(88)90207-6
A. Yu. Khrennikov, Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models, Kluwer Academics, Dordrecht, 1997. DOI: https://doi.org/10.1007/978-94-009-1483-4
A. Yu. Khrennikov, S. V. Kozyrev, and W. A. Zúñiga-Galindo, Ultrametric Equations and its Applications, Encyclopedia of Mathematics and its Applications, Cambridge University Press, 2018.
M. H. Taibleson, Fourier analysis on local fields, Princeton University Press, 1975.
V. S. Varadarajan, Non-archimedean models for space-time, Modern Phys. Lett. A 16 (2001), no. 4-6, 387-395. DOI: https://doi.org/10.1142/S0217732301003486
V. S. Vladimirov, On the equations for p-adic closed and open strings, p-Adic Numbers Ultrametr. Anal. Appl. 1 (2009), no. 1, 79-87. DOI: https://doi.org/10.1134/S2070046609010087
V. S. Vladimirov and I. V. Volovich, p-adic quantum mechanics, Comm. Math. Phys. 123 (1989), no. 4, 659-676. DOI: https://doi.org/10.1007/BF01218590
V. S. Vladimirov, I. V. Volovich, and E. I. Zelenov, Spectral theory in p-adic quantum mechanics and representation theory, Mathematics of the USSR-Izvestiya 36 (1991), no. 2, 281-309. DOI: https://doi.org/10.1070/IM1991v036n02ABEH002022
V. S. Vladimirov, I. V. Volovich, and E. I. Zelenov, p-adic analysis and mathematical physics, Series On Soviet And East European Mathematics, World Scientific, 1994. DOI: https://doi.org/10.1142/1581
I. V. Volovich, p-adic string, Clas. Quant. Gravity 4 (1987), no. 1, L83-L87. DOI: https://doi.org/10.1088/0264-9381/4/4/003
I. V. Volovich, Number theory as the ultimate physical theory, p-Adic Numbers Ultrametr. Anal. Appl. 2 (2010), no. 1, 77-87. DOI: https://doi.org/10.1134/S2070046610010061
W. A. Zúñiga-Galindo, Pseudodifferential equations over non-archimedean spaces, Lectures Notes in Mathematics, Springer, 2016. DOI: https://doi.org/10.1007/978-3-319-46738-2
W. A. Zúñiga-Galindo, Non-archimedean white noise, pseudodifferential stochastic equations, and massive euclidean fields, J. Fourier Anal. Appl. 23 (2017), no. 2, 288-323. DOI: https://doi.org/10.1007/s00041-016-9470-1
