References
V. A. Avetisov, A. H. Bikulov, and S. V. Kozyrev, J. Phys. A: Math. Gen. 32, 8785–8791 (1999); arXiv:cond-mat/9904360.
G. Parisi and N. Sourlas, Eur. Phys. J. B 14, 535–542 (2000); arXiv:cond-mat/9906095.
A. Yu. Khrennikov and S. V. Kozyrev, Physica A: Stat. Mech. Appl. 381, 265–272 (2007); arXiv:q-bio.QM/0701007.
B. Dragovich and A. Dragovich, p-Adic Numbers, Ultrametric Anal. Appl. 1(1), 34–41 (2009); arXiv:q-bio/0607018v1.
S. V. Kozyrev, Izv. Akad. Nauk, Ser. Mat. 66(2), 149–158 (2002); arXiv:math-ph/0012019.
B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev, and I. V. Volovich, p-Adic Mathematical Physics: p-Adic Numbers, Ultrametric Anal. Appl. 1(1), 1–17 (2009); arXiv:0904.4205.
S. Fischenko and E. Zelenov, II International Conference on p-Adic Mathematical Physics, Belgrade, Serbia, and Montenegro, September 15–21, 2005, AIP Conf. Proc. 826(1), 174–191 (2006).
S. V. Kozyrev, Teor. Mat. Fiz. 157, 413–424 (2008); arXiv:0803.2719.
S. Albeverio and S. V. Kozyrev, p-Adic Numbers, Ultrametric Anal. Appl. 1(1), 18–33 (2009); arXiv:0801.4713.
S. Albeverio and S. V. Kozyrev, Proc. Steklov Math. Inst. 265, 13–29 (2009); arXiv:0708.2074.
A. Yu. Khrennikov and V. M. Shelkovich, p-Adic Numbers, Ultrametric Anal. Appl. 1(3), 204–216 (2009).
S. B. Stechkin, Mat. Zametki 1(2), 137–148 (1967).
G. Beylkin, R. Coifman, and V. Rokhlin, Commun. Pure Appl. Math. 44(2), 141–183 (1991).
L. Accardi, Y. G. Lu, I. V. Volovich, Quantum Theory and Its Stochastic Limit (Springer-Verlag, Berlin, 2002).
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Original Russian Text © S.V. Kozyrev, A.Yu. Khrennikov, 2011, published in Doklady Akademii Nauk, 2011, Vol. 437, No. 4, pp. 457–461.
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Kozyrev, S.V., Khrennikov, A.Y. p-Adic integral operators in wavelet bases. Dokl. Math. 83, 209–212 (2011). https://doi.org/10.1134/S1064562411020220
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DOI: https://doi.org/10.1134/S1064562411020220