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math.OA2025
Hormander-Mikhlin type theorem on non-commutative spaces
Rauan Akylzhanov, Michael Ruzhansky, Kanat Tulenov
In this paper, we introduce a Fourier-type formalism on non-commutative spaces. As a result, we obtain two versions of Hormander-Mikhlin Lp-multiplier theorem: on locally compact K…
math.OA2017★ 16 cited
Smooth dense subalgebras and Fourier multipliers on compact quantum groups
Rauan Akylzhanov, Shahn Majid, Michael Ruzhansky
We define and study dense Frechet subalgebras of compact quantum groups consisting of elements rapidly decreasing with respect to an unbounded sequence of real numbers. Further, th…
math.OA2016★ 11 cited
Fourier multipliers and group von Neumann algebras
Rauan Akylzhanov, Michael Ruzhansky
In this paper we establish the - boundedness of Fourier multipliers on locally compact separable unimodular groups for the range of indices . Our…