Geodesic
An analogue of Hardy's theorem for the Heisenberg group
S. Thangavelu 1
1 Stat-Math Division Indian Statistical Institute 8th Mile, Mysore Road Bangalore 560 059, India
Colloquium Mathematicum, Tome 87 (2001) no. 1, pp. 137-145 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $ {\mathbb R}^n $ related to them.
DOI : 10.4064/cm87-1-9
Keywords: observe classical theorem hardy fourier transform pairs reformulated terms heat kernel associated laplacian euclidean space leads interesting version hardys theorem sublaplacian heisenberg group consider certain rockland operators heisenberg group schr dinger operators mathbb related

S. Thangavelu  1

1 Stat-Math Division Indian Statistical Institute 8th Mile, Mysore Road Bangalore 560 059, India 
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S. Thangavelu. An analogue of Hardy's theorem for 
the Heisenberg group. Colloquium Mathematicum, Tome 87 (2001) no. 1, pp. 137-145. doi: 10.4064/cm87-1-9

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