Abstract
In this paper, we introduce a class of nilpotent Lie groups which include Heisenberg group as a particular example, and study harmonic analysis on these groups as spectral theory of the associated sub-Laplacians instead of the representation theory.
Keywords
- Plan Wave
- Harmonic Analysis
- Fourier Series
- Measurable Function
- Normed Space
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R. S. Strichartz, Harmonic analysis as spectral theory of Laplacian, to appear in J. Func. Anal.
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R. D. Ogdean, S. Vági, Harmonic analysis of a nilpotent group and function theory on Siegel domain of type II, Adv. in Math., 33 (1979), 31–92.
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© 1991 Springer-Verlag
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Sun, Lm. (1991). Hermitian nilpotent lie groups: Harmonic analysis as spectral theory of Laplacians. In: Cheng, MT., Deng, DG., Zhou, XW. (eds) Harmonic Analysis. Lecture Notes in Mathematics, vol 1494. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087770
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DOI: https://doi.org/10.1007/BFb0087770
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54901-7
Online ISBN: 978-3-540-46474-7
eBook Packages: Springer Book Archive
