Add to ORKGWe characterize the L^1(E,μ_∞)-spectrum of the Ornstein–Uhlenbeck operator Lf(x) = (1/2)TrQD^(2) + , where μ_∞ is the invariant measure for the Ornstein–Uhlenbeck semigroup generated by L. The main result covers the general case of an infinite-dimensional Banach space E under the assumption that the point spectrum of A* is nonempty and extends several recent related results
In an infinite dimensional separable Hilbert space $X$, we study the realizations of Ornstein-Uhlenb...
AbstractWe study the number operator, N, of quantum field theory as a partial differential operator ...
AbstractLet A=∑i,j=1Nqij(s,x)Dij+∑i=1Nbi(s,x)Di be a family of elliptic differential operators with ...
We characterize the L^1(E,μ_∞)-spectrum of the Ornstein–Uhlenbeck operator Lf(x) = (1/2)TrQD^(2) + ...
In this paper we show that the realization in L p(X, ν∞) of a nonsymmetric Ornstein-Uhlenbeck operat...
AbstractLet A=∑i,j=1NqijDij+∑i,j=1NbijxjDi be a possibly degenerate Ornstein–Uhlenbeck operator in R...
Abstract Let A =∑ i , j =1 N q ij D ij +∑ i , j =1 N b ij x j D i be...
AbstractWe consider a family of self-adjoint Ornstein–Uhlenbeck operators Lα in an infinite dimensio...
AbstractWe show that the realization Ap of the elliptic operator Au=div(Q∇u)+F⋅∇u+Vu in Lp(RN,RN), p...
summary:Given a Hilbert space $H$ with a Borel probability measure $\nu $, we prove the $m$-dissipat...
summary:Given a Hilbert space $H$ with a Borel probability measure $\nu $, we prove the $m$-dissipat...
AbstractLet γ be the Gaussian measure in Rd and Ht, t>0, the corresponding Ornstein–Uhlenbeck semigr...
AbstractThis paper deals with perturbations of the Ornstein–Uhlenbeck operator on L2-spaces with res...
Let X be a closed linear subspace of the Lebesgue space L^p(Omega ; mu); let -A be an invertible lin...
Let X be a closed linear subspace of the Lebesgue space L^p(Omega ; mu); let -A be an invertible lin...
In an infinite dimensional separable Hilbert space $X$, we study the realizations of Ornstein-Uhlenb...
AbstractWe study the number operator, N, of quantum field theory as a partial differential operator ...
AbstractLet A=∑i,j=1Nqij(s,x)Dij+∑i=1Nbi(s,x)Di be a family of elliptic differential operators with ...
We characterize the L^1(E,μ_∞)-spectrum of the Ornstein–Uhlenbeck operator Lf(x) = (1/2)TrQD^(2) + ...
In this paper we show that the realization in L p(X, ν∞) of a nonsymmetric Ornstein-Uhlenbeck operat...
AbstractLet A=∑i,j=1NqijDij+∑i,j=1NbijxjDi be a possibly degenerate Ornstein–Uhlenbeck operator in R...
Abstract Let A =∑ i , j =1 N q ij D ij +∑ i , j =1 N b ij x j D i be...
AbstractWe consider a family of self-adjoint Ornstein–Uhlenbeck operators Lα in an infinite dimensio...
AbstractWe show that the realization Ap of the elliptic operator Au=div(Q∇u)+F⋅∇u+Vu in Lp(RN,RN), p...
summary:Given a Hilbert space $H$ with a Borel probability measure $\nu $, we prove the $m$-dissipat...
summary:Given a Hilbert space $H$ with a Borel probability measure $\nu $, we prove the $m$-dissipat...
AbstractLet γ be the Gaussian measure in Rd and Ht, t>0, the corresponding Ornstein–Uhlenbeck semigr...
AbstractThis paper deals with perturbations of the Ornstein–Uhlenbeck operator on L2-spaces with res...
Let X be a closed linear subspace of the Lebesgue space L^p(Omega ; mu); let -A be an invertible lin...
Let X be a closed linear subspace of the Lebesgue space L^p(Omega ; mu); let -A be an invertible lin...
In an infinite dimensional separable Hilbert space $X$, we study the realizations of Ornstein-Uhlenb...
AbstractWe study the number operator, N, of quantum field theory as a partial differential operator ...
AbstractLet A=∑i,j=1Nqij(s,x)Dij+∑i=1Nbi(s,x)Di be a family of elliptic differential operators with ...