Plasma Physics Reports. Vol. 44. 2018. P.. 507-513
Localisation property of Battle–Lemarié wavelets’ sums
Explicit formulae are given for a type of Battle–Lemarié scaling functions and related wavelets. Compactly supported sums of their translations are established and applied to alternative norm characterization of sequence spaces isometrically isomorphic to Nikolskii–Besov spaces on R. © 2018 Elsevier Inc.
Authors
Ushakova E.P. 1, 2 , Ushakova K.E. 3
Publisher
Academic Press Inc.
Issue number
1
Language
English
Pages
176-197
State
Published
Link
Volume
461
Year
2018
Organizations
- 1 Computing Center of the Far Eastern Branch of the Russian Academy of Sciences, Khabarovsk, Russian Federation
- 2 Peoples’ Friendship University of Russia, Moscow, Russian Federation
- 3 Immanuel Kant Baltic Federal University, Institute of Living Systems, Kaliningrad, Russian Federation
Keywords
B-spline; Battle–Lemarié scaling function and wavelet; Construction; Localisation; Nikolskii–Besov spaces; Spline wavelet
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