Nilpotent Lie Groups in Clifford Analysis: Five Directions for Research

Details Nilpotent Lie Groups in Clifford Analysis: Five Directions for Research Nilpotent Lie Groups in Clifford Analysis: Five Directions for Research

2000-09-10

arxiv.org/abs/math-ph/0009013v1

F. Bracks et al. (eds.) Clifford Analysis and Its Applications, 135-141, 2001 Kluwer Academic Publishers

Physics

Mathematical Physics

LaTeX2e, 7 pages

Scientific paper

The 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.

Affiliated with

Also associated with

No associations

Rating

Nilpotent Lie Groups in Clifford Analysis: Five Directions for Research does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nilpotent Lie Groups in Clifford Analysis: Five Directions for Research, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nilpotent Lie Groups in Clifford Analysis: Five Directions for Research will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-244736