Diagonalization of the L Evy Laplacian and Related Stable Processes
نویسنده
چکیده
In this paper, we introduce diagonalization of the L evy Laplacian along its eigenfunctions. We describe new Hilbert spaces as various domains of the L evy Laplacian and construct the corresponding equi-continuous semigroups of class (C 0). Moreover, we discuss innnite dimensional stochastic processes related to these extensions and one-dimensional stable processes.
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