Publications

Rauan Akylzhanov

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›Publications

Journal articles and preprints are labelled below. See Google Scholar for citation metrics and indexing updates.

2025

1.	Hörmander–Mikhlin type theorem on non-commutative spaces R. Akylzhanov, M. Ruzhansky, K. Tulenov arXiv preprint arXiv:2503.01240

2022

2.	Norms of certain functions of a distinguished Laplacian on the ax+b groups R. Akylzhanov, Y. Kuznetsova, M. Ruzhansky, H. Zhang Mathematische Zeitschrift, 302(4):2327–2352

2020

3.	Contractions of group representations via geometric quantization R. Akylzhanov, A. Arnaudon Letters in Mathematical Physics, 110(1):43–59
4.	L^p–L^q multipliers on locally compact groups R. Akylzhanov, M. Ruzhansky Journal of Functional Analysis, 278(3):108324
5.	Re-expansions on compact Lie groups R. Akylzhanov, E. Liflyand, M. Ruzhansky Analysis and Mathematical Physics, 10(3):33

2019

6.	Hardy–Littlewood, Hausdorff–Young–Paley inequalities, and L^p–L^q Fourier multipliers on compact homogeneous manifolds R. Akylzhanov, M. Ruzhansky, E. Nursultanov Journal of Mathematical Analysis and Applications, 479(2):1519–1548

2018

7.	Smooth dense subalgebras and Fourier multipliers on compact quantum groups R. Akylzhanov, S. Majid, M. Ruzhansky Communications in Mathematical Physics, 362(3):761–799

2017

8.	Net spaces on lattices, Hardy–Littlewood type inequalities, and their converses R. Akylzhanov, M. Ruzhansky Eurasian Mathematical Journal, 8(3):10–27

2016

9.	Hausdorff–Young–Paley inequalities and L^p–L^q Fourier multipliers on locally compact groups R. Akylzhanov, M. Ruzhansky arXiv preprint arXiv:1510.06321
10.	Fourier multipliers and group von Neumann algebras R. Akylzhanov, M. Ruzhansky Comptes Rendus Mathématique, 354(8):766–770
11.	Hardy–Littlewood–Paley-type inequalities on compact Lie groups R. Akylzhanov, E. D. Nursultanov, M. V. Ruzhanskii Matematicheskie Zametki, 100(2):287–290
12.	Hardy–Littlewood–Paley inequalities and Fourier multipliers on SU(2) R. Akylzhanov, E. Nursultanov, M. Ruzhansky Studia Mathematica, 234(1):1–29

2014

13.	Well-posed solvability of functional-differential equations with unbounded operator coefficients R. Akylzhanov, V. V. Vlasov Differential Equations, 50(9):1161–1172

2008

14.	On an inequality for the non-increasing rearrangement of a function R. Akylzhanov Eurasian Mathematical Journal, no. 3, 34–36