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2011 The spectrum of the sub-Laplacian on the Heisenberg group
Aparajita Dasgupta, Shahla Molahajloo, Man-Wah Wong
Tohoku Math. J. (2) 63(2): 269-276 (2011). DOI: 10.2748/tmj/1309952089

Abstract

We give a complete analysis of the spectrum of the unique self-adjoint extension of the sub-Laplacian on the one-dimensional Heisenberg group.

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Aparajita Dasgupta. Shahla Molahajloo. Man-Wah Wong. "The spectrum of the sub-Laplacian on the Heisenberg group." Tohoku Math. J. (2) 63 (2) 269 - 276, 2011. https://doi.org/10.2748/tmj/1309952089

Information

Published: 2011
First available in Project Euclid: 6 July 2011

zbMATH: 1233.47041
MathSciNet: MR2812454
Digital Object Identifier: 10.2748/tmj/1309952089

Subjects:
Primary: 47F05
Secondary: 47G30

Keywords: continuous spectrum , Eigenvalues , essential self-adjointness , essential spectrum , Heisenberg group , point spectrum , residual spectrum , self-adjoint extensions , spectrum , sub-Laplacian , twisted Laplacians

Rights: Copyright © 2011 Tohoku University

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Vol.63 • No. 2 • 2011
Tohoku University, Mathematical Institute
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