Compactly supported wavelets preserving localization with the growth of smoothness are constructed. Asymptotics of zeros of Bernstein polynomials used in the above mentioned construction is investigated. Nonstationary orthonormal infinitily differentiable compactly supported wavelets are constructed.
Main publications:
Novikov I., Semenov E. Haar series and linear operators. Dordrecht: Kluwer Acad. Publ., 1996. (Math. Appl., V.367.)
