Let ฯ 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 < โ. In fact, the partial sums are uniformly dominated by th
โฆ LIBER โฆ
On everywhere convergence of sequences of convolution kernels
โ Scribed by A.M. Bruckner
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 297 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
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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 GรK and \* 0. We consider the maximal operators and