On Almost Everywhere Convergence of the RieszAverages of Homogeneous Random Fields
β Scribed by Gaposhkin, V. F.
- Book ID
- 118227019
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1998
- Tongue
- English
- Weight
- 251 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0040-585X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let Ο be a rapidly decreasing one-dimensional wavelet. We show that the wavelet expansion of any L p function converges pointwise almost everywhere under the wavelet projection, hard sampling, and soft sampling summation methods, for 1 < p < β. In fact, the partial sums are uniformly dominated by th
## 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