Fourier cosine and sine transforms and generalized Lipschitz classes in the uniform metric
For functions f ∈ L¹ (ℝ+) with cosine (sine) Fourier transforms f^c (f^s) in L¹ (ℝ), we give necessary and sufficient conditions in terms of f^c (f^s) for f to belong to generalized Lipschitz classes H^ω,m and h^ω,m Conditions for the uniform convergence of the Fourier integral and for the existence...
Saved in:
| Date: | 2012 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2012
|
| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/164425 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Fourier cosine and sine transforms and generalized Lipschitz classes in the uniform metric / B.I. Golubov, S.S. Volosivets // Український математичний журнал. — 2012. — Т. 64, № 5. — С. 616-627. — Бібліогр.: 16 назв. — англ. |