Nilpotent Lie Groups in Clifford Analysis: Five Directions for Research

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dc.creatorKisil, Vladimir V.
dc.date2000-09-10
dc.date.accessioned2026-07-25T22:13:41Z
dc.descriptionThe aim of the paper is to popularise nilpotent Lie groups (notably the Heisenberg group and alike) in the context of Clifford analysis and related models of mathematical physics. It is argued that these groups are underinvestigated in comparison with other classical branches of analysis. We list five general directions which seem to be promising for further research. Keywords: Clifford analysis, Heisenberg group, nilpotent Lie group, Segal-Bargmann space, Toeplitz operators, singular integral operators, pseudodifferential operators, functional calculus, joint spectrum, quantum mechanics, spinor field.
dc.descriptionLaTeX2e, 7 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0009013
dc.identifierhttp://arxiv.org/abs/math-ph/0009013
dc.identifierF. Bracks et al. (eds.) Clifford Analysis and Its Applications, 135-141, 2001 Kluwer Academic Publishers
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/87083
dc.subjectMathematical Physics
dc.subject30G35; 22E27, 43A85, 47A60, 47G, 81R30, 81S10
dc.titleNilpotent Lie Groups in Clifford Analysis: Five Directions for Research
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