An analogue of Hardy's theorem for the Heisenberg group

• Autorzy: S. Thangavelu
• Języki publikacji: EN

Abstrakty

EN

We observe that the classical theorem of Hardy on Fourier transform pairs can be reformulated in terms of the heat kernel associated with the Laplacian on the Euclidean space. This leads to an interesting version of Hardy's theorem for the sublaplacian on the Heisenberg group. We also consider certain Rockland operators on the Heisenberg group and Schrödinger operators on ℝⁿ related to them.

Kategorie tematyczne

• 43A30: Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.
• 22E25: Nilpotent and solvable Lie groups
• 43A10: Measure algebras on groups, semigroups, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 87
• Numer: 1
• Strony: 137-145

Daty

wydano

2001

Twórcy

autor

S. Thangavelu

• Stat-Math Division, Indian Statistical Institute, 8th Mile, Mysore Road, Bangalore 560 059, India

Identyfikatory

DOI

10.4064/cm87-1-9