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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
11 - 20 of 47
- Variational auto-encoders without graph coarsening for fine mesh learning(2020)
Authors: Nicolas Vercheval, Hendrik De Bie, Aleksandra Pizurica
Pages: 2681 - 2685 - A Fock model and the Segal-Bargmann transform for the minimal representation of the orthosymplectic Lie superalgebra osp(m,2|2n)(2020)
Authors: Sigiswald Barbier, Sam Claerebout, Hendrik De Bie
- Bargmann and Barut-Girardello models for the Racah algebra(2019)
Authors: Hendrik De Bie, Plamen Iliev, Luc Vinet
- Octonion sparse representation for color and multispectral image processing(2018)
Authors: Srdan Lazendic, Hendrik De Bie, Aleksandra Pizurica
Pages: 608 - 612 - The total angular momentum algebra related to the S-3 Dunkl Dirac equation(2018)
Authors: Hendrik De Bie, Roy Oste, Joris Van der Jeugt
Pages: 192 - 218 - Explicit formulas for the Dunkl dihedral kernel and the ( κ , a )-generalized Fourier kernel(2018)
Authors: Denis Constales, Hendrik De Bie, Pan Lian
Pages: 900 - 926 - Symmetries of the S₃ Dirac-Dunkl operator(2018)Volume: 263
Authors: Hendrik De Bie, Roy Oste, Joris Van der Jeugt, Vladimir Dobrev
Pages: 255 - 260 - The kernel of the generalized Clifford-Fourier transform and its generating function(2017)
Authors: Pan Lian, Gejun Bao, Hendrik De Bie, Denis Constales
Pages: 214 - 229 - A new construction of the Clifford-Fourier kernel(2017)
Authors: Denis Constales, Hendrik De Bie, Pan Lian
Pages: 462 - 483 - Slice Segal–Bargmann transform(2017)
Authors: Lander Cnudde, Hendrik De Bie