A family of wavelets based on a prolate spheroidal wave function of zero order
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2017), pp. 71-84
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In this article class of wavelets on the basis of zero order prolate spheroidal wave function is synthesized. Prolate spheroidal wave function is mother wavelet. This function dominates by energy each of well-known mother wavelets on given support. This article is contribution to the theory and practice of wavelet-analysis.
Keywords:
wavelet, prolate spheroidal wave function, scaling function.
@article{VTPMK_2017_1_a5,
author = {A. N. Katulev and M. F. Malevinsky},
title = {A family of wavelets based on a prolate spheroidal wave function of zero order},
journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
pages = {71--84},
publisher = {mathdoc},
number = {1},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTPMK_2017_1_a5/}
}
TY - JOUR AU - A. N. Katulev AU - M. F. Malevinsky TI - A family of wavelets based on a prolate spheroidal wave function of zero order JO - Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika PY - 2017 SP - 71 EP - 84 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VTPMK_2017_1_a5/ LA - ru ID - VTPMK_2017_1_a5 ER -
%0 Journal Article %A A. N. Katulev %A M. F. Malevinsky %T A family of wavelets based on a prolate spheroidal wave function of zero order %J Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika %D 2017 %P 71-84 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/VTPMK_2017_1_a5/ %G ru %F VTPMK_2017_1_a5
A. N. Katulev; M. F. Malevinsky. A family of wavelets based on a prolate spheroidal wave function of zero order. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2017), pp. 71-84. http://geodesic.mathdoc.fr/item/VTPMK_2017_1_a5/