On support properties of Lp-functions and their Fourier transforms
β Scribed by W.O Amrein; A.M Berthier
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 509 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0022-1236
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π SIMILAR VOLUMES
We present the windowed Fourier transform and wavelet transform as tools for analyzing persistent signals, such as bounded power signals and almost periodic functions. We establish the analogous Parseval-type identities. We consider discretized versions of these transforms and construct generalized
The paper deals with approximation properties of JAcoBI-FOURIER-expansions in dependence of smoothness properties of the treated functions. Such relations are wellknown for trigonometrical series, we refer to LEINDLER [6], [7], OSKOLKOV [9], SCHMEIS-SER and SICKEL [ll]. In the same way as in the pa