Boggarapu, Pradeep and Thangavelu, S (2017) ON THE CHAOTIC BEHAVIOR OF THE DUNKL HEAT SEMIGROUP ON WEIGHTED L-p SPACES. In: ISRAEL JOURNAL OF MATHEMATICS, 217 (1). pp. 57-92.
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Official URL: http://dx.doi.org/10.1007/s11856-017-1438-6
Abstract
In this paper we study the chaotic behavior of the heat semigroup generated by the Dunkl-Laplacian on weighted L-p spaces. In the case of the heat semigroup associated to the standard Laplacian we obtain a complete picture on the spaces L-p(R-n, (phi(i rho)(x))(2)dx) where phi(i rho) is the Euclidean spherical function. The behavior is very similar to the case of the Laplace-Beltrami operator on non-compact Riemannian symmetric spaces studied by Pramanik and Sarkar.
| Item Type: | Journal Article |
|---|---|
| Publication: | ISRAEL JOURNAL OF MATHEMATICS |
| Additional Information: | Copy right for this article belongs to the HEBREW UNIV MAGNES PRESS, PO BOX 39099, JERUSALEM 91390, ISRAEL |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 19 May 2017 10:36 |
| Last Modified: | 19 May 2017 10:36 |
| URI: | http://eprints.iisc.ac.in/id/eprint/56677 |
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