Speciality:
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.
