Spectral expansions of non-self-adjoint generalized Laguerre semigroups

We provide the spectral expansion in a weighted Hilbert space of a substantial class of invariant non-self-adjoint and non-local Markov operators which appear in limit theorems for positive-valued Markov processes. We show that this class is in bijection with a subset of negative definite functions...

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Bibliographic Details
Main Authors:	Patie, Pierre, Savov, Mladen
Format:	eBook Book
Language:	English
Published:	Providence, Rhode Island American Mathematical Society 2021
Edition:	1
Series:	Memoirs of the American Mathematical Society
Subjects:	Laguerre polynomials Nonselfadjoint operators Spectral theory (Mathematics) intertwining functional equations Spectral theory Laguerre polynomials asymptotic analysis infinitely divisible distribution Markov semigroups convergence to equilibrium non-self-adjoint integro-differential operators Bernstein functions Hilbert sequences special functions
ISBN:	9781470449360, 1470449366
ISSN:	0065-9266, 1947-6221
Online Access:	Get full text
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