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Researcher
Michael Ruzhansky
- Keywords:mathematics
- Disciplines:Functional analysis, Finite differences and functional equations, Harmonic analysis on Euclidean spaces, Integral transforms, operational calculus, Partial differential equations, Operator theory, Abstract harmonic analysis
Affiliations
- Department of Mathematics: Analysis, Logic and Discrete Mathematics (Department)
Member
From1 Jan 2019 → Today - Department of Mathematics: Algebra and Geometry (Department)
Member
From1 Oct 2018 → 31 Dec 2018
Projects
1 - 9 of 9
- Fourier Integral Operators on graded Lie groupsFrom1 Oct 2023 → TodayFunding: FWO junior postdoctoral fellowship
- Pseudo-differential operators on fundamental domains of lattices and applicationsFrom1 Nov 2022 → TodayFunding: FWO fellowships
- Pseudo-differential operators on homogeneous manifoldsFrom1 Jan 2022 → TodayFunding: FWO research project (including WEAVE projects)
- Analysis and Partial Differential EquationsFrom1 Jan 2021 → TodayFunding: BOF - Methusalem
- Noncommutative Wavelet AnalysisFrom1 Jan 2021 → TodayFunding: FWO research project (including WEAVE projects)
- Lower Bounds for partial differential operators on compact Lie groupsFrom1 Jun 2019 → 31 May 2021Funding: ERC - Ideas
- Symbolic calculus of eigenfunction expansionsFrom15 Apr 2019 → 14 Feb 2024Funding: BOF - projects
- Special Research Fund Professorship in partial differential equationsFrom1 Oct 2018 → TodayFunding: BOF - ZAP BOF mandates
- Analysis and Partial Differential Equations (APDE)From1 Oct 2018 → TodayFunding: FWO Odysseus
Publications
1 - 10 of 250
- A note on best constants for weighted integral Hardy inequalities on homogeneous groups(2024)
Authors: Michael Ruzhansky, Anjali Shriwastawa, Bankteshwar Tiwari
- Generalised Hardy type and Rellich type inequalities on the Heisenberg group(2024)
Authors: Abimbola Abolarinwa, Michael Ruzhansky
- Smoothing and Strichartz estimates for degenerate Schrödinger-type equations(2024)
Authors: Serena Federico, Michael Ruzhansky
- Fujita-type results for the degenerate parabolic equations on the Heisenberg groups(2024)
Authors: Ahmad Z. Fino, Michael Ruzhansky, Berikbol Torebek
- Wave equation for Sturm-Liouville operator with singular potentials(2024)
Authors: Michael Ruzhansky, Serikbol Shaimardan, Alibek Yeskermessuly
Pages: 127783 - Heat and wave type equations with nonlocal operators : I. compact Lie groups(2024)
Authors: Wagner Augusto Almeida de Moraes, Joel Restrepo, Michael Ruzhansky
Pages: 1299 - 1328 - Asymptotic estimates for the growth of deformed Hankel transform by modulus of continuity(2024)
Authors: Vishvesh Kumar, Joel Restrepo, Michael Ruzhansky
- Generalized fractional Dirac type operators(2023)
Authors: Joel Restrepo, Michael Ruzhansky, Durvudkhan Suragan
Pages: 2720 - 2756 - Qualitative properties of solutions to a nonlinear time-space fractional diffusion equation(2023)
Authors: Meiirkhan B. Borikhanov, Michael Ruzhansky, Berikbol Torebek
Pages: 111 - 146 - Fourier multipliers for Hardy spaces on graded Lie groups(2023)
Authors: Qing Hong, Guorong Hu, Michael Ruzhansky
Pages: 1729 - 1750