Wavelets in spaces of harmonic functions / Subbotin YN,Chernykh NI // IZVESTIYA MATHEMATICS. - 2000. - V. 64, l. 1. - P. 143-171.

ISSN/EISSN:

1064-5632 / нет данных

Type:

Article

Abstract:

Using Meyer's bases of wavelets {[}1], we construct orthogonal bases of wavelets in the spaces h(p) (1 less than or equal to p less than or equal to infinity) of functions harmonic in the unit disc \textbackslash{}z\textbackslash{} < 1 or in the annulus 0 < p < \textbackslash{}z\textbackslash{} < 1. The partial sums of the Fourier series with respect to these bases possess approximating properties comparable with the best approximations by trigonometric polynomials.

Author keywords:

нет данных

DOI:

10.1070/IM2000v064n01ABEH00027

Web of Science ID:

ISI:000087745000005

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	JAN-FEB
Publisher	LONDON MATHEMATICAL SOCIETY RUSSIAN ACAD SCIENCES
Address	C/O TURPION LTD, TURPIN DISTRIBUTION SERVICES, BLACKHORSE RD,, LETCHWORTH, HERTS, ENGLAND SG6 1HN
Language	English
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics
ResearcherID-Numbers	Subbotin, Yurii Nikolaevich/C-4273-2017
Number-of-Cited-References	10
Journal-ISO	Izv. Math.
Doc-Delivery-Number	326PY