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Description
  • In the framework of quaternionic Clifford analysis in Euclidean space, 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 also determined.
  • In the framework of quaternionic Clifford analysis in Euclidean space, 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 also determined. (en)
Title
  • Fischer decomposition in symplectic harmonic analysis
  • Fischer decomposition in symplectic harmonic analysis (en)
skos:prefLabel
  • Fischer decomposition in symplectic harmonic analysis
  • Fischer decomposition in symplectic harmonic analysis (en)
skos:notation
  • RIV/00216208:11320/14:10287076!RIV15-MSM-11320___
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  • I, P(GBP201/12/G028)
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  • 4
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  • 16986
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  • RIV/00216208:11320/14:10287076
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  • Fischer decomposition; Symplectic harmonics; Quaternionic Clifford analysis (en)
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  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [F977D445B7DD]
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  • Annals of Global Analysis and Geometry
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  • 46
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  • Brackx, F.
  • De Schepper, H.
  • Lávička, Roman
  • Souček, Vladimír
  • Eelbode, D.
http://linked.open...ain/vavai/riv/wos
  • 000345135400005
issn
  • 0232-704X
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s10455-014-9431-3
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  • 11320
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