They generate operators of the generalized fractional calculus (Kiryakova, 1994: Generalized Fractional Calculus and Applications, Longman and J. Wiley), and Laplace-type integral transforms involving the Fox H-function.
This paper concerns the structure of the predual of certain singly generated operator algebras.
Two uniqueness results for C0 semigroups on weighted Lp spaces over Rn generated by operators of type Δ+β·∇ with singular drift β are proven.
We start by considering finite dimensional Markovian dynamics in Rm generated by operators of hypocoercive type and for such models we obtain short and long time pointwise estimates for all the derivatives, of any order and in any direction, along the semigroup.
The results are used to show that the spectral projections of the generating Schrödinger operator also act as Carleman operators with continuous integral kernels.
By constructing the impulsive evolution operator, the existence of -periodic -mild solution for homogeneous linear impulsive periodic system with time-varying generating operators is reduced to the existence of fixed point for a suitable operator.
In the article, spectrum of operator generated by differential operator expression given on semi axis is investigated and proved formula for regularized trace of this operator.
Recent work presented a Monte Carlo algorithm based on Markov Chain operators for generating replicas of textile composite specimens that possess the same statistical characteristics as specimens imaged using high resolution x-ray computed tomography.
In the third and final part of the paper, Weyl treats the dynamical problem from the viewpoint of a one parameter group of unitary transformations in system space generated by the Hamiltonian operator of the system.
