Almost-Fourier and almost-Fresnel transformations
β Scribed by Sumiyoshi Abe; John T. Sheridan
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 258 KB
- Volume
- 113
- Category
- Article
- ISSN
- 0030-4018
No coin nor oath required. For personal study only.
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
## a b s t r a c t For most orthogonal systems and their corresponding Fourier series, the study of the almost everywhere convergence for functions in L p requires very complicated research, harder than in the case of the mean convergence. For instance, for trigonometric series, the almost everywh