P. G. Severov, “Time localization of Alpert multiwavelets”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, Number 5,Pages <nobr>72

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Brief communications

Time localization of Alpert multiwavelets

P. G. Severov

Chair of Functional Analysis and Operator Equations, Voronezh State University, Voronezh, Russia

Abstract: We study the behavior of radii of Alpert multiscaling functions of arbitrary dimensions. We calculate the radii up to the 4th order for the corresponding multiwavelets. In addition, we obtain an integral correlation for the Legendre polynomials.

Keywords: multiwavelet, multiscaling function, Legendre polynomials, radii of vector functions.

UDC: 517.5

Presented by the member of Editorial Board: N. Temirgaliev
Received: 08.11.2011