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.

Авторы
Ushakova E.P. 1, 2 , Ushakova K.E.3
Редакторы
-
Издательство
Academic Press Inc.
Номер выпуска
1
Язык
Английский
Страницы
176-197
Статус
Опубликовано
Подразделение
-
Номер
-
Том
461
Год
2018
Организации
  • 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
Ключевые слова
B-spline; Battle–Lemarié scaling function and wavelet; Construction; Localisation; Nikolskii–Besov spaces; Spline wavelet
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/6695/