An existence and uniqueness theorem for the the heat equation associated to the Levy-Laplacian is proved and a simple explicit formula is derived. The associated {\it Levy heat semigroup} is used to construct a classical Markov process called the {\it Levy Brownian motion
infinite dimensions, Lévy heat equation. New results on analytical properties of the Lévy–Laplace ...
One of the main reasons for interest in the Levy Laplacian and its analogues such as Levy d'Alembert...
AbstractWe use Brownian motion ideas to study Schrödinger operators H = built−12Δ + V on Lp(Rv). In ...
An existence and uniqueness theorem for the the heat equation associated to the Levy-Laplacian is ...
This work is a study of the relationship between Brownian motion and elementary, linear partial diff...
In this paper, a theory of stochastic processes generated by quantum extensions of Laplacians is dev...
AbstractIn general settings, applying evolutional semigroup arguments, we prove the existence and un...
A Feynman formula is a representation of the solution to the Cauchy problem for an evolution partia...
We consider a Riemmaniann compact manifold $M$, the associated Laplacian $\Delta$ and the correspond...
We analyze the extension of the well known relation between Brownian motion and Schroedinger equatio...
In this paper we introduce a new scalar product on distribution spaces based on the Cesaro mean of a...
We review and extend Lindsay's work on abstract gradient and divergence operators in Fock space over...
AbstractWe show that the only compact simply connected manifolds for which the radial part of Browni...
This thesis is about the existence and uniqueness of a solution for the semilinear heat equation of ...
An important object of study in harmonic analysis is the heat equation. On a Euclidean space, the fu...
infinite dimensions, Lévy heat equation. New results on analytical properties of the Lévy–Laplace ...
One of the main reasons for interest in the Levy Laplacian and its analogues such as Levy d'Alembert...
AbstractWe use Brownian motion ideas to study Schrödinger operators H = built−12Δ + V on Lp(Rv). In ...
An existence and uniqueness theorem for the the heat equation associated to the Levy-Laplacian is ...
This work is a study of the relationship between Brownian motion and elementary, linear partial diff...
In this paper, a theory of stochastic processes generated by quantum extensions of Laplacians is dev...
AbstractIn general settings, applying evolutional semigroup arguments, we prove the existence and un...
A Feynman formula is a representation of the solution to the Cauchy problem for an evolution partia...
We consider a Riemmaniann compact manifold $M$, the associated Laplacian $\Delta$ and the correspond...
We analyze the extension of the well known relation between Brownian motion and Schroedinger equatio...
In this paper we introduce a new scalar product on distribution spaces based on the Cesaro mean of a...
We review and extend Lindsay's work on abstract gradient and divergence operators in Fock space over...
AbstractWe show that the only compact simply connected manifolds for which the radial part of Browni...
This thesis is about the existence and uniqueness of a solution for the semilinear heat equation of ...
An important object of study in harmonic analysis is the heat equation. On a Euclidean space, the fu...
infinite dimensions, Lévy heat equation. New results on analytical properties of the Lévy–Laplace ...
One of the main reasons for interest in the Levy Laplacian and its analogues such as Levy d'Alembert...
AbstractWe use Brownian motion ideas to study Schrödinger operators H = built−12Δ + V on Lp(Rv). In ...