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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
1 - 10 of 48
- Generalised symmetries and bases for dunkl monogenics(2023)
Authors: Hendrik De Bie, Alexis Langlois-Rémillard, Roy Oste, Joris Van der Jeugt
Pages: 397 - 415 - A Lie algebra of Grassmannian Dirac operators and vector variables(2022)
Authors: Asmus Bisbo, Hendrik De Bie, Joris Van der Jeugt
Pages: 751 - 770 - Dunkl intertwining operator for symmetric groups(2021)
Authors: Hendrik De Bie, Pan Lian
Pages: 4871 - 4880 - The Racah algebra : an overview and recent results(2021)Volume: 768
Authors: Hendrik De Bie, Plamen Iliev, Wouter van de Vijver, Luc Vinet, Drazen Adamovic, Andrej Dujella, Pavle Pandzic
Pages: 1 - 18 - Implementing zonal harmonics with the Fueter principle(2021)
Authors: Amedeo Altavilla, Hendrik De Bie, Michael Wutzig
- The Dunkl kernel and intertwining operator for dihedral groups(2021)
Authors: Hendrik De Bie, Pan Lian
- Representations of the Lie superalgebra osp(1 vertical bar 2n) with polynomial bases(2021)
Authors: Asmus Bisbo, Hendrik De Bie, Joris Van der Jeugt
- On extending the ADMM algorithm to the quaternion algebra setting(2021)Volume: 64
Authors: Srdan Lazendic, Hendrik De Bie, Aleksandra Pizurica, Dragana Krstic, Maciej Piechowiak
Number of pages: 1 - On variational auto-encoders for fixed graph mesh learning(2020)
Authors: Nicolas Vercheval, Hendrik De Bie, Aleksandra Pizurica
Number of pages: 1 - Solutions for the Levy-Leblond or parabolic Dirac equation and its generalizations(2020)
Authors: Sijia Bao, Denis Constales, Hendrik De Bie, Teppo Mertens