Title: Dr Rauan Akylzhanov — Mathematician: Spectral Theory & Noncommutative Analysis
Description: Personal site of Dr Rauan Akylzhanov — mathematician working on noncommutative harmonic analysis, spectral theory and the mathematics of deep learning.
Mail addresses
akylzhanov.r@gmail.com
Domain: ra312.github.io
Links:
| Blog | https://ra312.github.io/blog/index.html |
| Research | https://ra312.github.io#research |
| Publications | https://ra312.github.io#publications |
| Experience | https://ra312.github.io#experience |
| Education | https://ra312.github.io#education |
| Talks | https://ra312.github.io#talks |
| Funding | https://ra312.github.io#funding |
| Teaching | https://ra312.github.io#teaching |
| Google Scholar | https://scholar.google.com/citations?user=BAxsRYkAAAAJ&hl=en |
| ra312.github.io | https://ra312.github.io |
| github/ra312 | https://github.com/ra312 |
| Note: Log-signatures as structured compression and probes of representation geometry (March 2026) | https://ra312.github.io/log-signature-attention.html |
| Google Scholar | https://scholar.google.com/citations?user=BAxsRYkAAAAJ&hl=en |
| Hörmander–Mikhlin type theorem on non-commutative spaces | https://arxiv.org/abs/2503.01240 |
| Norms of certain functions of a distinguished Laplacian on the ax+b groups | https://doi.org/10.1007/s00209-022-03143-z |
| Contractions of group representations via geometric quantization | https://doi.org/10.1007/s11005-019-01212-9 |
| Lp–Lq multipliers on locally compact groups | https://doi.org/10.1016/j.jfa.2019.108324 |
| Re-expansions on compact Lie groups | https://doi.org/10.1007/s13324-020-00376-1 |
| Hardy–Littlewood, Hausdorff–Young–Paley inequalities, and Lp–Lq Fourier multipliers on compact homogeneous manifolds | https://doi.org/10.1016/j.jmaa.2019.07.010 |
| Smooth dense subalgebras and Fourier multipliers on compact quantum groups | https://doi.org/10.1007/s00220-018-3219-4 |
| Net spaces on lattices, Hardy–Littlewood type inequalities, and their converses | https://www.mathnet.ru/eng/emj262 |
| Hausdorff–Young–Paley inequalities and Lp–Lq Fourier multipliers on locally compact groups | https://arxiv.org/abs/1510.06321 |
| Fourier multipliers and group von Neumann algebras | https://doi.org/10.1016/j.crma.2016.05.010 |
| Hardy–Littlewood–Paley-type inequalities on compact Lie groups | https://doi.org/10.1134/S0001434616070269 |
| Hardy–Littlewood–Paley inequalities and Fourier multipliers on SU(2) | https://doi.org/10.4064/sm8106-4-2016 |
| Well-posed solvability of functional-differential equations with unbounded operator coefficients | https://doi.org/10.1134/S0012266114090043 |
Viewport: width=device-width, initial-scale=1.0