12 citations · 14 across the 18 of their papers we have counts for
4 papers · 1 filter
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 oscillator…
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…