Tohoku Mathematical Journal
2011
June
SECOND SERIES VOL. 63, NO. 2

Tohoku Math. J.
63 (2011), 269-276

Title THE SPECTRUM OF THE SUB-LAPLACIAN ON THE HEISENBERG GROUP

Author Aparajita Dasgupta, Shahla Molahajloo and Man-Wah Wong

(Received March 26, 2010)
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.

2000 Mathematics Subject Classification. Primary 47F05; Secondary 47G30.
Key words and phrases. Heisenberg group, sub-Laplacian, twisted Laplacians, self-adjoint extensions, essential self-adjointness, eigenvalues, spectrum, point spectrum, continuous spectrum, residual spectrum, essential spectrum.

To the top of this page

Back to the Contents