Essential Self-Adjointness of Schrödinger Operators with Positive Potentials.
Essential self-adjointness of symmetric linear relations associated to first order systems
The purpose of this note is to present several criteria for essential self-adjointness. The method is based on ideas due to Shubin. This note is divided into two parts. The first part deals with symmetric first order systems on the line in the most general setting. Such a symmetric first order system of differential equations gives rise naturally to a symmetric linear relation in a Hilbert space. In this case even regularity is nontrivial. We will announce a regularity result and discuss criteria...
Essential spectra of quasisimilar -quasihyponormal operators.
Essentially slant Hankel operators.
Estimates for a number of negative eigenvalues of the Schrödinger operator with intensive magnetic field
Estimates for absolute values of matrix functions.
Estimates of capacity of self-similar measures
We give lower and upper estimates of the capacity of self-similar measures generated by iterated function systems where are bi-lipschitzean transformations.
Estimates on the number of scattering poles near the real axis for strictly convex obstacles
For the Dirichlet Laplacian in the exterior of a strictly convex obstacle, we show that the number of scattering poles of modulus in a small angle near the real axis, can be estimated by Const for sufficiently large depending on . Here is the dimension.
Estimations de l'effet tunnel pour le double-puits
Étude d'une fonction remarquable associée aux moyennes de convolution
Dans cet article nous étudions la série génératrice des poids alternés d’une moyenne de convolution induite par un processus de diffusion. Nous montrons que celle-ci est une fonction méromorphe, naturellement liée à un certain opérateur compact. Cette fonction est simplement égale à , lorsque le déterminant de Fredholm de cet opérateur existe, et nous la précisons dans les autres cas.
Every Frame is a Sum of Three (But Not Two) Orthonormal Bases-and Other Frame Representations.
Every nilpotent operator fails to determine the complete norm topology.
Evolution semigroups for nonautonomous Cauchy problems.
Example of a mean ergodic L¹ operator with the linear rate of growth
The rate of growth of an operator T satisfying the mean ergodic theorem (MET) cannot be faster than linear. It was recently shown (Kornfeld-Kosek, Colloq. Math. 98 (2003)) that for every γ > 0, there are positive L¹[0,1] operators T satisfying MET with . In the class of positive L¹ operators this is the most one can hope for in the sense that for every such operator T, there exists a γ₀ > 0 such that In this note we construct an example of a nonpositive L¹ operator with the highest possible...
Examples of infinite dimensional isoparametric submanifolds.
Examples of stable -semigroups
Exemples de noyaux admettant des resolvantes.
Existence of the smallest selfadjoint extension
Existence of time averages from the topological point of view
Existenz der Wellenoperatoren für eine allgemeine Klasse von Operatoren.