Almost Everywhere Convergence of Orthogonal Series Revisited
β Scribed by F. Moricz; K. Tandori
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 424 KB
- Volume
- 182
- Category
- Article
- ISSN
- 0022-247X
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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
Let G be a connected noncompact semisimple Lie group with finite center and real rank one. Fix a maximal subgroup K. We consider K bi-invariant functions f on G and their spherical transform where . \* denote the elementary spherical functions on GΓK and \* 0. We consider the maximal operators and