$p$-Adic Pseudodifferential Operators: Methods and Applications
Informatics and Automation, Selected topics of $p$-adic mathematical physics and analysis, Tome 245 (2004), pp. 154-165
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Various methods of the theory of $p$-adic pseudodifferential operators are discussed, such as constructing a basis of $p$-adic wavelets and constructing a large class of $p$-adic pseudodifferential operators that are diagonal in the basis of $p$-adic wavelets but cannot be diagonalized by the Fourier transform. The application of the methods of the theory of $p$-adic pseudodifferential operators to describing replica symmetry breaking in the replica method of the spin-glass theory is demonstrated.
@article{TRSPY_2004_245_a15,
author = {S. V. Kozyrev},
title = {$p${-Adic} {Pseudodifferential} {Operators:} {Methods} and {Applications}},
journal = {Informatics and Automation},
pages = {154--165},
publisher = {mathdoc},
volume = {245},
year = {2004},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TRSPY_2004_245_a15/}
}
S. V. Kozyrev. $p$-Adic Pseudodifferential Operators: Methods and Applications. Informatics and Automation, Selected topics of $p$-adic mathematical physics and analysis, Tome 245 (2004), pp. 154-165. http://geodesic.mathdoc.fr/item/TRSPY_2004_245_a15/