We establish a hierarchy of weighted majorization relations for the singularities of generalized Lamé equations and the zeros of their Van Vleck and Heine-Stieltjes polynomials as well as for multiparameter spectral polynomials of higher Lamé operators. These relations translate into natural dilation and subordination properties in the Choquet order for certain probability measures associated w...

In this paper, we establish the asymptotic estimates for norms of matrix dilation operators on modulation spaces. As an application, study boundedness spaces Hausdorff operators. The definition are also revisited fitting our study.

1. According to classical mechanics the speed of a particle is proportional to the square root of its kinetic energy. Since there is no limit, in principle, on the kinetic energy of a body, there is no classical speed limit. According to the theory of relativity there is a speed limit. In the first of these experiments you will measure the velocity distribution of high energy muons that are gen...

For classical dynamical systems time operators are introduced as selfadjoint operators satisfying the so called weak Weyl relation (WWR) with the unitary groups of time evolution. Dynamical systems with time operators are intrinsically irreversible because they admit Lyapounov operators as functions of the time operator. For quantum systems selfadjoint time operators are defined in the same way...

1. According to classical mechanics the speed of a particle is proportional to the square root of its kinetic energy. Since there is no limit, in principle, on the kinetic energy of a body, there is no classical speed limit. According to the theory of relativity there is a speed limit. In the first of these experiments you will measure the velocity distribution of high energy muons that are gen...