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• W1805355846 abstract "In the framework of quaternionic Clifford analysis in Euclidean space $mathbb{R}^{4p}$, which constitutes a refinement of Euclidean and Hermitian Clifford analysis, the Fischer decomposition of the space of complex valued polynomials is obtained in terms of spaces of so--called (adjoint) symplectic spherical harmonics, which are irreducible modules for the symplectic group Sp$(p)$. Its Howe dual partner is determined to be $mathfrak{sl}(2,mathbb{C}) oplus mathfrak{sl}(2,mathbb{C}) = mathfrak{so}(4,mathbb{C})$." @default.
• W1805355846 created "2016-06-24" @default.
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• W1805355846 date "2014-04-14" @default.
• W1805355846 modified "2023-09-27" @default.
• W1805355846 title "Fundaments of Quaternionic Clifford Analysis III: Fischer Decomposition in Symplectic Harmonic Analysis" @default.
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• W1805355846 hasPublicationYear "2014" @default.
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