29 citations · 65 across the 6 of their papers we have counts for
6 papers
Schatten classes on noncommutative tori: Kernel conditions
Michael Ruzhansky, Kai Zeng
In this note, we give criteria on noncommutative integral kernels ensuring that integral operators on quantum torus belong to Schatten classes. With the engagement of a noncommutat…
boundedness of Fourier multipliers on quantum Euclidean spaces
M. Ruzhansky, S. Shaimardan, K. Tulenov
In this paper, we study Fourier multipliers on quantum Euclidean spaces and obtain results on their boundedness. On the way to get these results, we prove Paley, Hausdor…
A boundary-value problem for a mixed type equation involving hyper-Bessel fractional differential operator and Hilfer's bi-ordinal fractional derivative
E. Karimov, M. Ruzhansky, B. Toshtemirov
In a rectangular domain, a boundary-value problem is considered for a mixed-type equation with a regularized Caputo-like counterpart of hyper-Bessel differential operator and the b…
Fractional Klein-Gordon equation with singular mass
Arshyn Altybay, Michael Ruzhansky, Mohammed Elamine Sebih +1
We consider a space-fractional wave equation with a singular mass term depending on the position and prove that it is very weak well-posed. The uniqueness is proved in some appropr…
On weakly hyperbolic equations with analytic principal part
Claudia Garetto, Michael Ruzhansky
In this paper we show how to include low order terms in the well-posedness results for weakly hyperbolic equations with analytic time-dependent coefficients. This is a…
Lp-distributions on symmetric spaces
Michael Ruzhansky
The notion of -distributions is introduced on Riemannian symmetric spaces of noncompact type and their main properties are established. We use a geometric description for the…