The heat kernel and Hardy’s theorem on symmetric spaces of noncompact type
✍ Scribed by E. K. Narayanan; S. K. Ray
- Publisher
- Indian Academy of Sciences
- Year
- 2002
- Tongue
- English
- Weight
- 137 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0253-4142
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📜 SIMILAR VOLUMES
On a symmetric space X=GÂK 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.
Function spaces of Hardy Sobolev Besov type on symmetric spaces of noncompact type and unimodular Lie groups are investigated. The spaces were originally defined by uniform localization. In the paper we give a characterization of the space F s p, q (X ) and B s p, q (X ) in terms of heat and Poisson