We discuss recent developments in the spectral theory of non-local SchrOdinger operators via a Feynman-Kac-type approach. The processes we consider are subordinate Brownian motion and a class of jump Levy processes under a Kato-class potential. We discuss some explicitly soluble specific cases, and address the spatial decay properties of eigenfunctions and the number of negative eigenvalues in the general framework of the processes we introduce
In this paper, we study strong solutions of some non-local difference–differential equations linked ...
In this paper, we study strong solutions of some non-local difference–differential equations linked ...
We consider a class of Levy-type processes with unbounded coefficients, arising as Doob h-transforms...
We discuss recent developments in the spectral theory of non-local SchrOdinger operators via a Feynm...
We study the spatial decay of eigenfunctions of non-local Schrodinger operators based on generators ...
In this article we consider the spectral properties of a class of non-local operators that arise fro...
In this article we consider the spectral properties of a class of non-local operators that arise fro...
Nonrelativistic Schrödinger operators are perturbations of the negative Laplacian and the connection...
Nonrelativistic Schrödinger operators are perturbations of the negative Laplacian and the connection...
Thesis (Ph.D.)--University of Washington, 2017-06Non-local operators are analytically defined by int...
AbstractNonrelativistic Schrödinger operators are perturbations of the negative Laplacian and the co...
In this paper we consider the spectral properties of a class of non-local operators, with particular...
In this paper we consider the spectral properties of a class of non-local operators, with particular...
An explicit solution of the spectral problem of the non-local Schrodinger operator obtained as the s...
Contractivity and ground state domination properties for non-local Schrödinger operator
In this paper, we study strong solutions of some non-local difference–differential equations linked ...
In this paper, we study strong solutions of some non-local difference–differential equations linked ...
We consider a class of Levy-type processes with unbounded coefficients, arising as Doob h-transforms...
We discuss recent developments in the spectral theory of non-local SchrOdinger operators via a Feynm...
We study the spatial decay of eigenfunctions of non-local Schrodinger operators based on generators ...
In this article we consider the spectral properties of a class of non-local operators that arise fro...
In this article we consider the spectral properties of a class of non-local operators that arise fro...
Nonrelativistic Schrödinger operators are perturbations of the negative Laplacian and the connection...
Nonrelativistic Schrödinger operators are perturbations of the negative Laplacian and the connection...
Thesis (Ph.D.)--University of Washington, 2017-06Non-local operators are analytically defined by int...
AbstractNonrelativistic Schrödinger operators are perturbations of the negative Laplacian and the co...
In this paper we consider the spectral properties of a class of non-local operators, with particular...
In this paper we consider the spectral properties of a class of non-local operators, with particular...
An explicit solution of the spectral problem of the non-local Schrodinger operator obtained as the s...
Contractivity and ground state domination properties for non-local Schrödinger operator
In this paper, we study strong solutions of some non-local difference–differential equations linked ...
In this paper, we study strong solutions of some non-local difference–differential equations linked ...
We consider a class of Levy-type processes with unbounded coefficients, arising as Doob h-transforms...