Geodesic
$p$-Adic Pseudodifferential Operators: Methods and Applications
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of $p$-adic mathematical physics and analysis, Tome 245 (2004), pp. 154-165

Voir la notice de l'article provenant de la source Math-Net.Ru

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{TM_2004_245_a15,
     author = {S. V. Kozyrev},
     title = {$p${-Adic} {Pseudodifferential} {Operators:} {Methods} and {Applications}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {154--165},
     publisher = {mathdoc},
     volume = {245},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2004_245_a15/}
}
TY  - JOUR
AU  - S. V. Kozyrev
TI  - $p$-Adic Pseudodifferential Operators: Methods and Applications
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2004
SP  - 154
EP  - 165
VL  - 245
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2004_245_a15/
LA  - ru
ID  - TM_2004_245_a15
ER  - 
%0 Journal Article
%A S. V. Kozyrev
%T $p$-Adic Pseudodifferential Operators: Methods and Applications
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2004
%P 154-165
%V 245
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2004_245_a15/
%G ru
%F TM_2004_245_a15
S. V. Kozyrev. $p$-Adic Pseudodifferential Operators: Methods and Applications. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of $p$-adic mathematical physics and analysis, Tome 245 (2004), pp. 154-165. http://geodesic.mathdoc.fr/item/TM_2004_245_a15/