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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Hlavní autori:	Patie, Pierre, Savov, Mladen
Médium:	E-kniha Kniha
Jazyk:	English
Vydavateľské údaje:	Providence, Rhode Island American Mathematical Society 2021
Vydanie:	1
Edícia:	Memoirs of the American Mathematical Society
Predmet:	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
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