7 papers
On a fractional nonlinear Schrödinger equation with irregular coefficients. case: d<2s
Arshyn Altyby, Michael Ruzhansky, Mohammed Elamine Sebih +1
In the case when , where is the space dimension and is the fractional power of the Laplacian, we study the well-posedness for a cubic nonlinear Schrödinger equation…
Reproducing Kernel Hilbert Spaces and entropy Kolmogorov numbers on compact Lie Groups
Zhirayr Avetisyan, Michael Ruzhansky, Karina Gonzalez
On a compact Lie group , we consider the reproducing kernel Hilbert space associated with the integral kernel of a left-invariant, positive, symmetric, trace…
Functional calculus for Safarov pseudo-differential operators
Santiago Gómez Cobos, Michael Ruzhansky
Given a smooth, closed Riemannian manifold equipped with a linear connection (not necessarily metric), we develop the holomorphic functional calculus for operators…
A Closed-form Approximation for Impulse Response of Fractionally Damped Oscillators
Shashank Pathak, Michael Ruzhansky, Karel Van Bockstal
We consider a fractionally damped oscillator, where the damping term is expressed by the Caputo fractional derivative of order The impulse response of this oscillato…
Hardy-Hilbert type inequalities on homogeneous groups-An introduction and generalization to the kernel case
Markos Fisseha Yimer, Lars Erik Persson, Michael Ruzhansky +2
There is a lot of information available concerning Hardy-Hilbert type inequalities in one or more dimensions. In this paper we introduce the development of such inequalities on hom…
Levin-Cochran-Lee inequalities and best constants on homogeneous groups
Michael Ruzhansky, Markos Fisseha Yimer
In this paper, we apply a direct method instead of a limit approach, for proving the Levin-Cochran-Lee inequalities. First, we state and prove Levin-Cochran-Lee type inequalities o…