Results 91 to 100 of about 14,174 (225)

Bimodule Quantum Markov Semigroups

open access: yes
We present a systematic investigation of bimodule quantum Markov semigroups within the framework of quantum Fourier analysis. We introduce the concepts of bimodule detailed balance conditions and bimodule KMS symmetry, which not only generalize the classical notions of detailed balance but also expose interesting structures of quantum channels.
Wu, Jinsong, Zhao, Zishuo
openaire   +2 more sources

Some further classes of pseudo-differential operators in the p-adic context and their applications. [PDF]

open access: yesJ Pseudodiffer Oper Appl, 2023
Torresblanca-Badillo A   +1 more
europepmc   +1 more source

On the Cauchy problem for non-local Ornstein--Uhlenbeck operators

open access: yes, 2015
We study the Cauchy problem involving non-local Ornstein-Uhlenbeck operators in finite and infinite dimensions. We prove classical solvability without requiring that the L\'evy measure corresponding to the large jumps part has a first finite moment ...
Priola, Enrico, Tracà, Stefano
core  

Self-similar Cauchy problems and generalized Mittag-Leffler functions

open access: yes, 2019
By observing that the fractional Caputo derivative can be expressed in terms of a multiplicative convolution operator, we introduce and study a class of such operators which also have the same self-similarity property as the Caputo derivative. We proceed
Patie, P., Srapionyan, A.
core  

Cauchy Problem of the non-self-adjoint Gauss-Laguerre semigroups and uniform bounds of generalized Laguerre polynomials

open access: yes, 2016
We propose a new approach to construct the eigenvalue expansion in a weighted Hilbert space of the solution to the Cauchy problem associated to Gauss-Laguerre invariant Markov semigroups that we introduce. Their generators turn out to be natural non-self-
Patie, Pierre, Savov, Mladen
core  

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