Théorèmes taubériens et théorie spectrale
Théorie de la diffusion pour le modèle en théorie des champs
Théorie de la diffusion pour l'équation de Schrödinger
Théorie de la diffusion pour un atome couplé à un champ quantique
Théorie de l'indice pour des opérateurs non-Fredholm
Théorie des résonances pour des opérateurs de Schrödinger périodiques
Théorie spectrale
Théorie spectrale de certains opérateurs de Schrödinger avec potentiel coulombien
Théorie spectrale locale appliquée aux opérateurs shifts.
Three remarks on the use of Čebyšev polynomials for solving equations of the second kind
Time Dependent Perturbations and Scattering of Strongly Continuous Groups on Banach Spaces.
Time regularity and functions of the Volterra operator
Our aim is to prove that for any fixed 1/2 < α < 1 there exists a Hilbert space contraction T such that σ(T) = 1 and . This answers Zemánek’s question on the time regularity property.
Time-dependent Scattering Theory.
Time-dependent Schrödinger perturbations of transition densities
We construct the fundamental solution of for functions q with a certain integral space-time relative smallness, in particular for those satisfying a relative Kato condition. The resulting transition density is comparable to the Gaussian kernel in finite time, and it is even asymptotically equal to the Gaussian kernel (in small time) under the relative Kato condition. The result is generalized to arbitrary strictly positive and finite time-nonhomogeneous transition densities on measure spaces. We...
Toeplitz operators in the commutant of a composition operator
If ϕ is an analytic self-mapping of the unit disc D and if is the Hardy-Hilbert space on D, the composition operator on is defined by . In this article, we consider which Toeplitz operators satisfy
Toeplitz Operators with Frequency Modulated Semi-Almost Periodic Symbols.
Topological and algebraic genericity of divergence and universality
We give general theorems which assert that divergence and universality of certain limiting processes are generic properties. We also define the notion of algebraic genericity, and prove that these properties are algebraically generic as well. We show that universality can occur with Dirichlet series. Finally, we give a criterion for the set of common hypercyclic vectors of a family of operators to be algebraically generic.
Topological and measurable dynamics of Lorenz maps [Book]
Topological characterization of weakly compact operators revisited.
Topological dual of with application to stochastic systems on Hilbert space
In this paper, we prove that the topological dual of the Banach space of bounded measurable functions with values in the space of nuclear operators, furnished with the natural topology, is isometrically isomorphic to the space of finitely additive linear operator-valued measures having bounded variation in a Banach space containing the space of bounded linear operators. This is then applied to a stochastic structural control problem. An optimal operator-valued measure, considered as the structural...