05.13.16 (Computer techniques, mathematical modelling, and mathematical methods with an application to scientific researches)
Birth date:
22.08.1945
E-mail:
Keywords:
orthogonal series; multiplicative orthogonal sistems; integral transforms; digital image processing.
Subject:
Some estimations of Gibbs function for multiplicative orthonormal systems were obtained. Multiplicative orthonormal transforms and their discrete analogs were introduced, their properties and applications to digital image compression investigated.
Main publications:
Pospelov A. S. Nekotorye otsenki funktsii Gibbsa dlya chastichnykh summ ryadov Fure po $A$-multiplikativnym sistemam // Dokl. AN SSSR, 1991, 317(3), 573–575.
Efimov A. V., Pospelov A. S., Umnyashkin S. V. Nekotorye svoistva multiplikativnykh ortonormirovannykh sistem, ispolzuemye v tsifrovoi obrabotke signalov // Trudy MIAN, 1997, 219, 137–182.
Pospelov A. S. O nekotorykh svoistvakh diskretnykh preobrazovanii, porozhdennykh multiplikativnymi ortonormirovannymi sistemami. Ryady Fure i ikh prilozheniya // II-i Mezhdunarodnyi simpozium, Rostov–na–Donu, 27 maya–2 iyunya, 2002, 40.
A. V. Efimov, A. S. Pospelov, S. V. Umnayshkin, “Some Properties of Multiplicative Orthonormal Systems Applied in Digital Signal Processing”, Trudy Mat. Inst. Steklova, 219 (1997), 137–182; Proc. Steklov Inst. Math., 219 (1997), 130–175
A. S. Pospelov, “Some estimates for the Gibbs function for partial sums of Fourier series in $\Lambda$-multiplicative systems”, Dokl. Akad. Nauk SSSR, 317:3 (1991), 573–575; Dokl. Math., 43:2 (1991), 464–466
1990
3.
A. S. Pospelov, “On eigenfunctions of $p$-adic and discrete Fourier transforms”, Matem. Mod., 2:10 (1990), 120–131
A. S. Pospelov, “Representations of profinite groups and orthonormal systems”, Dokl. Akad. Nauk SSSR, 237:6 (1977), 1293–1296
2002
5.
S. M. Nikol'skii, A. S. Pospelov, S. A. Telyakovskii, P. L. Ul'yanov, S. V. Umnayshkin, Yu. A. Chaplygin, “Alexandr Vasil'evich Efimov (obituary)”, Uspekhi Mat. Nauk, 57:3(345) (2002), 135–136; Russian Math. Surveys, 57:3 (2002), 573–575
L. D. Kudryavtsev, S. M. Nikol'skii, A. S. Pospelov, S. B. Stechkin, S. A. Telyakovskii, P. L. Ul'yanov, “Aleksandr Vasil'evich Efimov (on his seventieth birthday)”, Uspekhi Mat. Nauk, 51:3(309) (1996), 219–220; Russian Math. Surveys, 51:3 (1996), 581–583
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