Fischer decomposition for the symplectic group

DOI10.1016/j.jmaa.2017.09.041zbMath1390.30054OpenAlexW2761446107MaRDI QIDQ1674432

David Eelbode, Vladimír Souček, Hennie De Schepper, Fred Brackx, Roman Lávička

Publication date: 2 November 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://biblio.ugent.be/publication/8562030

zbMATH Keywords

Fischer decompositionquaternionic Clifford analysis

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Cites Work

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• Fischer decomposition in symplectic harmonic analysis
• Higher symmetries of the Laplacian via quantization
• Higher symmetries of the Laplacian
• The Howe dual pair in Hermitean Clifford analysis
• Conformally covariant operators in Clifford analysis
• Fundaments of quaternionic Clifford analysis. I: Quaternionic structure
• Fischer decomposition for osp(4|2)-monogenics in quaternionic Clifford analysis
• Higher symmetries of the conformal powers of the Laplacian on conformally flat manifolds
• A reciprocity law and the skew Pieri rule for the symplectic group
• Fundaments of quaternionic Clifford analysis II: splitting of equations
• Remarks on Classical Invariant Theory
• Symmetry and separation of variables for the Helmholtz and Laplace equations
• Fundaments of Hermitean Clifford analysis part II: splitting ofh-monogenic equations

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