16 citations · 62 across the 10 of their papers we have counts for
11 papers
KazByte: Adapting Qwen models to Kazakh via Byte-level Adapter
Rauan Akylzhanov
Large language models fragment Kazakh text into many more tokens than equivalent English text, because their tokenizers were built for high-resource languages. This tokenizer tax i…
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…
Norms of certain functions of a distinguished Laplacian on the groups
Rauan Akylzhanov, Yulia Kuznetsova, Michael Ruzhansky +1
The aim of this paper is to find new estimates for the norms of functions of the (minus) Laplace operator on the `' groups. The central part is devoted to spectrally…
Re-expansions on compact Lie groups
Rauan Akylzhanov, Elijah Liflyand, Michael Ruzhansky
In this paper we consider the re-expansion problems on compact Lie groups. First, we establish weighted versions of classical re-expansion results in the setting of multi-dimension…
Contractions of group representations via geometric quantisation
Rauan Akylzhanov, Alexis Arnaudon
We propose a general framework to contract unitary dual of Lie groups via holomorphic quantization of their co-adjoint orbits. The sufficient condition for the contractability of a…
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…
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…
Net spaces on lattices, Hardy-Littlewood type inequalities, and their converses
Rauan Akylzhanov, Michael Ruzhansky
We introduce abstract net spaces on directed sets and prove their embedding and interpolation properties. Typical examples of interest are lattices of irreducible unitary represent…
- multipliers on locally compact groups
Rauan Akylzhanov, Michael Ruzhansky
In this paper we discuss the - boundedness of both spectral and Fourier multipliers on general locally compact separable unimodular groups for the range $1<p\leq q<\i…
Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and Lp-Lq Fourier multipliers on compact homogeneous manifolds
Rauan Akylzhanov, Erlan Nursultanov, Michael Ruzhansky
In this paper we prove new inequalities describing the relationship between the "size" of a function on a compact homogeneous manifold and the "size" of its Fourier coefficients. T…
Hardy-Littlewood inequalities and Fourier multipliers on SU(2)
Rauan Akylzhanov, Erlan Nursultanov, Michael Ruzhansky
In this paper we prove a noncommutative version of Hardy-Littlewood inequalities relating a function and its Fourier coefficients on the group . As a consequence, we use it…