Paley-Wiener theorems on groups of split rank one
β Scribed by Kenneth D. Johnson
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 726 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
On a symmetric space X=GΓK of noncompact type, we consider the formulas where 8 \* is the spherical function on X. Taken together they represent, the synthesis and decomposition formulas for appropriate functions f on X in terms of joint eigenfunctions of the invariant differential operators on X.
We extend the LittlewoodαPaley theorem to L G , where G is a locally w compact Vilenkin group and w are weights satisfying the Muckenhoupt A p condition. As an application we obtain a mixed-norm type multiplier result on p Ε½ . L G and prove the sharpness of our result. We also obtain a sufficient co