The spectrum of the sub-Laplacian on the Heisenberg group

Aparajita Dasgupta, Shahla Molahajloo, Man-Wah Wong

Type: Article

Publication Date: 2011-01-01

Citations: 8

DOI: https://doi.org/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.

Locations

Tohoku Mathematical Journal - View - PDF

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+	The Wiener Measure on the Heisenberg Group and Parabolic Equations	2020	S. V. Mamon
+	Curvature of the Heisenberg Group	2017	Bartek Ewertowski M. W. Wong
+	On evolution of the classical heat and the quantum wave generated by the Laplacian on the Heisenberg group	2023	M. W. Wong Shengwen Yang
+	A Detailed Study of Kirchhoff-type Critical Elliptic Equations and p-Sub-Laplacian Operators within the Heisenberg Group Hn Framework	2023	Subham De
+	On the Transfer of the Wiener Measure to the Set of Continuous Trajectories in the Heisenberg Group	2019	S. V. Mamon
+	A Detailed Study of Kirchhoff-type Critical Elliptic Equations and $p$-Sub-Laplacian Operators within the Heisenberg Group $\mathcal{H}_{n}$ Framework	2023	Subham De
+	On the Hölder Property of Trajectories in a Set of Full Wiener Measure on the Heisenberg Group	2019	C. V. Mamon

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+	Lectures on Hermite and Laguerre expansions	1993	Sundaram Thangavelu
+	On The Invariance of the Essential Spectrum under a Change of Boundary Conditions of Partial Differential Boundary Operators	1959	František Wolf
+ PDF Chat	Hypoelliptic second order differential equations	1967	Lars Hörmander
+	The spectrum of the laplacian on a certain nilpotent lie group	1993	Kenrô Furutani Kei Sagami Nobukazu Ôtsuki
+	On the essential spectrum of partial differential boundary problems	1959	František Wolf
+	Essential Self-Adjointness of a Sublaplacian via Heat Equation	2005	Jun Masamune
+	Spectra of partial differential operators	1986	Martin Schechter
+	Fourier–Wigner transforms and Liouville's theorems for the sub-Laplacian on the Heisenberg group	2010	Aparajita Dasgupta M. W. Wong
+	Erratum: An Example of a Smooth Linear Partial Differential Equation Without Solution	1958	Hans Lewy
+	Harmonic Analysis in Phase Space. (AM-122)	1989	Gerald B. Folland