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
Journal
Journal of Mathematical Analysis and Applications
Publisher
Academic Press Inc.
Number of issue
1
Language
English
Pages
176-197
Status
Published
Link
External link
DOI
10.1016/j.jmaa.2017.12.066
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
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/6695/
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