300 citations · 881 across the 36 of their papers we have counts for
7 papers · 1 filter
-Adic Mathematical Physics: The First 30 Years
B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev +2
-Adic mathematical physics is a branch of modern mathematical physics based on the application of -adic mathematical methods in modeling physical and related phenomena. It em…
Application of p-adic analysis to time series
A. Yu. Khrennikov, S. V. Kozyrev, K. Oleschko +2
Time series defined by a p-adic pseudo-differential equation is investigated using the expansion of the time series over p-adic wavelets. Quadratic correlation function is computed…
p-Adic Mathematical Physics
B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev +1
A brief review of some selected topics in p-adic mathematical physics is presented.
Multidimensional basis of p-adic wavelets and representation theory
S. Albeverio, S. V. Kozyrev
A multidimensional basis of p-adic wavelets is constructed. The relation of the constructed basis to a system of coherent states (i.e. orbit of action) for some -adic group of l…
Towards ultrametric theory of turbulence
S. V. Kozyrev
Relation of ultrametric analysis, wavelet theory and cascade models of turbulence is discussed. We construct the explicit solutions for the nonlinear ultrametric integral equation…
Rigged Hilbert space of the free coherent states and p-adic numbers
S. V. Kozyrev
Rigged Hilbert space of the free coherent states is investigated. We prove that this rigged Hilbert space is isomorphous to the space of generalized functions on p-adic disk. We di…
Wavelet analysis as a p-adic spectral analysis
Sergei Kozyrev
New orthonormal basis of eigenfunctions for the Vladimirov operator of p-adic fractional derivation is constructed. The map of p-adic numbers onto real numbers (p-adic change of va…