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Dynamics of the heat semigroup in Jacobi analysis

Abstract:
Let \Delta be the Jacobi Laplacian. We study the chaotic and hypercyclic behaviour of the strongly continuous semigroups of operators generated by perturbations of \Delta with a multiple of the identity on L^p spaces.

Keywords:
Jacobi analysis, L^p heat semigroup, chaotic semigroups

MSC:
43