Some Remarks on Inequalities of Landau and Kolmogorov.
Some remarks on time-dependent evolution systems in the hyperbolic case
Some results on elliptic and parabolic equations in Hilbert spaces
We consider elliptic and parabolic equations with infinitely many variables. We prove some results of existence, uniqueness and regularity of solutions.
Some spectral properties of the streaming operator with general boundary conditions
This paper deals with the spectral study of the streaming operator with general boundary conditions defined by means of a boundary operator . We study the positivity and the irreducibility of the generated semigroup proved in [M. Boulanouar, L’opérateur d’Advection: existence d’un -semi-groupe (I), Transp. Theory Stat. Phys. 31, 2002, 153–167], in the case . We also give some spectral properties of the streaming operator and we characterize the type of the generated semigroup in terms of the...
Some Tauberian theorems related to operator theory
This article is a survey of some Tauberian theorems obtained recently in connection with work on asymptotic behaviour of semigroups of operators on Banach spaces. The results in operator theory are described in [6], where we made little attempt to show the Tauberian aspects. At the end of this article, we will give a sketch of the connections between the results in this article and in [6]; for details, the reader can turn to the original papers. In this article, we make no attempt to describe...
Sottospazi invarianti per operatori lineari T-invarianti rispetto ad un gruppo di omeomorfismi
Theory of -invariant linear operators which was considered for a group of congruences [2], [3] is now extended to a group of homeomorphisms. An analysis is carried out in order to establish to what extent the main results of the previous theory still hold under the actual very general assumptions.
Sous-groupes distingues du groupe unitaire et du groupe général linéaire d'un espace de Hilbert quaternionien.
Sous-groupes distingués du groupe unitaire et du groupe général linéaire d'un espace de Hilbert
Spectral characterization of operators with precompact orbit
Spectral gap lower bound for the one-dimensional fractional Schrödinger operator in the interval
We prove a uniform lower bound for the difference λ₂ - λ₁ between the first two eigenvalues of the fractional Schrödinger operator , α ∈ (1,2), with a symmetric single-well potential V in a bounded interval (a,b), which is related to the Feynman-Kac semigroup of the symmetric α-stable process killed upon leaving (a,b). “Uniform” means that the positive constant appearing in our estimate is independent of the potential V. In the general case of α ∈ (0,2), we also find a uniform lower bound for...
Spectral inclusions and stability results for strongly continuous semigroups.
Spectral mapping theorem for integrated semigroups.
Spectral mapping theorems for exponentially bounded C-semigroups in Banach spaces.
Spectral projections, semigroups of operators, and the Laplace transform
Spectral properties of a type of integro-differential stiff problems
Spectral properties of cosine operator functions.
Spectral properties of weakly almost periodic cosine functions
The spectral structure of the infinitesimal generator of a strongly continuous cosine function of linear bounded operators is investigated, under assumptions on the almost periodic behaviour of applications generated, in various ways, by C. Moreover, a first approach is presented to the analysis of connection between cosine functions and dynamical systems.
Spectral Representation of Local Semigroups.
Spectral representation of local semigroups in locally convex spaces
Spectral statistics for random Schrödinger operators in the localized regime
We study various statistics related to the eigenvalues and eigenfunctions of random Hamiltonians in the localized regime. Consider a random Hamiltonian at an energy in the localized phase. Assume the density of states function is not too flat near . Restrict it to some large cube . Consider now , a small energy interval centered at that asymptotically contains infintely many eigenvalues when the volume of the cube grows to infinity. We prove that, with probability one in the large volume...