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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 - 8 of 8
- 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 → TodayFunding: BOF - postdoctoral mandates
- Modular representation theory of the periplectic Brauer algebra.From1 Nov 2020 → 31 Oct 2023Funding: FWO junior postdoctoral fellowship
- Dual pairs and Dirac cohomology for deformations of Weyl algebrasFrom1 Oct 2019 → 30 Sep 2023Funding: FWO junior postdoctoral fellowship
- Generalized Askey-Wilson and q-Onsager algebras: a quantum algebraic approach to multivariate orthogonal polynomials.From1 Oct 2019 → 1 Nov 2019Funding: BOF - doctoral mandates
- 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
- Generalized Fourier transforms in harmonic and clifford analysisFrom1 Jan 2013 → 31 Oct 2017Funding: BOF - Doctoral projects
Publications
21 - 30 of 47
- A superintegrable model with reflections onSn−1and the higher rank Bannai–Ito algebra(2017)
Authors: Hendrik De Bie, Vincent X Genest, Jean-Michel Lemay, Luc Vinet
- Slice fourier transform and convolutions(2017)
Authors: Lander Cnudde, Hendrik De Bie
Pages: 837 - 862 - Basic aspects of symplectic Clifford analysis for the symplectic dirac operator(2017)
Authors: Hendrik De Bie, Marie Holíková, Petr Somberg
Pages: 1103 - 1132 - The harmonic transvector algebra in two vector variables(2017)
Authors: Hendrik De Bie, David Eelbode, Matthias Roels
Pages: 247 - 282 - Clifford-Fourier transform on hyperbolic space(2017)
Authors: Pan Lian, Gejun Bao, Hendrik De Bie, Denis Constales
Pages: 3666 - 3675 - A superintegrable model with reflections on S^3 and the rank two Bannai-Ito algebra(2016)
Authors: Hendrik De Bie, Vincent X. Genest, Jean-Michel Lemay, Luc Vinet
Pages: 166 - 172 - The Z(2)(n) Dirac-Dunkl operator and a higher rank Bannai-Ito algebra(2016)
Authors: Hendrik De Bie, Vincent X. Genest, Luc Vinet
Pages: 390 - 414 - A DiracU+2013Dunkl equation on S^2 and the BannaiU+2013Ito algebra(2016)
Authors: Hendrik De Bie, Vincent X Genest, Luc Vinet
Pages: 447 - 464 - Connecting spatial and frequency domains for the quaternion Fourier transform(2015)
Authors: Hendrik De Bie, Nele De Schepper, Todd Ell, Klaus Rubrecht, Stephen Sangwine
Pages: 581 - 593 - Fourier transforms in Clifford analysis(2015)
Authors: Hendrik De Bie
Pages: 1651 - 1672