Fourier-Wigner transforms and Liouville's theorems for the sub-Laplacian on the Heisenberg group

• Autorzy: Aparajita Dasgupta , M. W. Wong
• Języki publikacji: EN

Abstrakty

EN

The sub-Laplacian on the Heisenberg group is first decomposed into twisted Laplacians parametrized by Planck's constant. Using Fourier-Wigner transforms so parametrized, we prove that the twisted Laplacians are globally hypoelliptic in the setting of tempered distributions. This result on global hypoellipticity is then used to obtain Liouville's theorems for harmonic functions for the sub-Laplacian on the Heisenberg group.

Kategorie tematyczne

• 35H20: Subelliptic equations
• 47G30: Pseudodifferential operators
• 47F05: Partial differential operators (should also be assigned at least one other classification number in section 47)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 88
• Numer: 1
• Strony: 67-75

Daty

wydano

2010

Twórcy

autor

Aparajita Dasgupta

• Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada

autor

M. W. Wong

• Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada

Identyfikatory

DOI

10.4064/bc88-0-6