5 citations · 13 across the 11 of their papers we have counts for
3 papers · 1 filter
Compactness and Spectral Properties of Multiplier Operators in the Walsh System
Michael Ruzhansky, Sergo A. Episkoposian, Rafik Yeghoyan
We investigate compactness and spectral properties of multiplier operators associated with the Walsh system in the spaces , . Building upon previously establi…
Lieb-Thirring inequalities for the Dirac operator on spheres
Uwe Kähler, André Pedroso Kowacs, Michael Ruzhansky
In this paper, we obtain bounds for the best constants in two inequalities which can be seen as analogues of the Lieb-Thirring inequality, but with the Dirac operator, on the s…
Fujita exponents on quantum Euclidean spaces
Edward McDonald, Michael Ruzhansky, Serikbol Shaimardan +1
We study the well-posedness of a non-linear heat equation with power nonlinearity with positive initial data on quantum Euclidean spaces. We prove a noncommutative analogue of the…