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.
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Reference
R. S. Strichartz, Harmonic analysis as spectral theory of Laplacian, to appear in J. Func. Anal.
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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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