Researcher
Hendrik De Bie
- Keywords:special functions, Dirac operators, orthogonal polynomials, integrable systems
- Disciplines:Functions of a complex variable, Harmonic analysis on Euclidean spaces, Special functions, Integral transforms, operational calculus, Classical and quantum integrable systems, Algebraic structures in mathematical physics, Partial differential equations, Quantum theory, Ordinary differential equations, Abstract harmonic analysis, Measure and integration
Affiliations
- Department of Electronics and information systems (Department)
Member
From1 Jul 2019 → Today - Department of Mathematical analysis (Department)
Responsible
From1 Oct 2018 → 30 Jun 2019 - Department of Mathematical analysis (Department)
Member
From1 Oct 2018 → 30 Jun 2019 - Department of Mathematical analysis (Department)
Member
From1 Oct 2005 → 30 Jun 2019
Projects
1 - 10 of 12
- Fourier transforms in harmonic analysisFrom1 Jan 2024 → TodayFunding: BOF - projects
- Polyanalytic functional calculus and reproducing kernel Hilbert spaces: complex and hypercomplex casesFrom1 Oct 2022 → TodayFunding: FWO junior postdoctoral fellowship
- Harmonic analysis: automorphic forms and deformed Howe dualitiesFrom4 Aug 2021 → 3 Aug 2024Funding: BOF - postdoctoral mandates
- Modular representation theory of the periplectic Brauer algebra.From1 Nov 2020 → 31 Oct 2023Funding: FWO junior postdoctoral fellowship
- Generalized Askey-Wilson and q-Onsager algebras: a quantum algebraic approach to multivariate orthogonal polynomialsFrom1 Nov 2019 → 31 Oct 2023Funding: FWO fellowships
- Generalized Askey-Wilson and q-Onsager algebras: a quantum algebraic approach to multivariate orthogonal polynomials.From1 Oct 2019 → 1 Nov 2019Funding: BOF - doctoral mandates
- Dual pairs and Dirac cohomology for deformations of Weyl algebrasFrom1 Oct 2019 → 30 Sep 2023Funding: FWO junior postdoctoral fellowship
- Modular representation theory of the periplectic Brauer algebra.From1 Oct 2018 → 31 Oct 2020Funding: BOF - Doctoral projects
- Clifford algebra methods for efficient multidimensional data analysisFrom1 Sep 2015 → 31 Oct 2021Funding: BOF - Doctoral projects
- Segal-Bargmann transforms for Lie supergroupsFrom1 Oct 2014 → 30 Sep 2018Funding: FWO fellowships, BOF - Other initiatives
Publications
1 - 10 of 83
- Bounds for the kernel of the (κ, a)-generalized Fourier transform(2025)Published in: JOURNAL OF FUNCTIONAL ANALYSISISSN: 1096-0783Issue: 4Volume: 288
- Minimal representations of Lie supergroups and Segal-Bargmann transforms(2024)Pages: X, 289 p.
- Topics in representation theory of the Dunkl total angular momentum algebra(2023)Pages: XVI, 214 p.
- Generalised symmetries and bases for dunkl monogenics(2023)Published in: ROCKY MOUNTAIN JOURNAL OF MATHEMATICSISSN: 1945-3795Issue: 2Volume: 53Pages: 397 - 415
- Superspace realizations of the Bannai-Ito algebra(2023)Published in: LETTERS IN MATHEMATICAL PHYSICSISSN: 1573-0530Issue: 5Volume: 113
- Graphical calculus for quantum vertex operators(2023)Pages: VIII, 278 p.
- Hypercomplex algebra and sparse optimisation in multiband image processing(2023)Pages: XXX, 165 p.
- The monogenic Hua–Radon transform and its inverse(2022)Published in: JOURNAL OF GEOMETRIC ANALYSISISSN: 1559-002XIssue: 1Volume: 32
- Finite-dimensional representations of the symmetry algebra of the dihedral Dunkl-Dirac operator(2022)Published in: JOURNAL OF ALGEBRAISSN: 1090-266XVolume: 591Pages: 170 - 216
- A Lie algebra of Grassmannian Dirac operators and vector variables(2022)Published in: JOURNAL OF LIE THEORYISSN: 0949-5932Issue: 3Volume: 32Pages: 751 - 770