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20032023
most citedGlobal quantization of pseudo-differential operators on compact Lie groups, SU(2) and 3-sphere

115 citations · 1.9k across the 226 of their papers we have counts for

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math-ph2022

Uniform estimates for oscillatory integrals with homogeneous polynomial phases of degree 4

M. Ruzhansky, A. R. Safarov, G. A. Khasanov

In this paper we consider the uniform estimates for oscillatory integrals with a two-order homogeneous polynomial phase. The estimate is sharp and the result is an analogue of the…

math-ph2016

Wave equation for 2D Landau Hamiltonian

Michael Ruzhansky, Niyaz Tokmagambetov

This note is devoted to the study of the well-posedness of the Cauchy problem for the Landau Hamiltonian wave equation in the plane, with nonzero constant magnetic field. We show t…

math-ph2016★ 8 cited

Uncertainty relations on nilpotent Lie groups

Michael Ruzhansky, Durvudkhan Suragan

We give relations between main operators of quantum mechanics on one of most general classes of nilpotent Lie groups. Namely, we show relations between momentum and position operat…