An analogue of Hardy's theorem for the Heisenberg group

S. Thangavelu. "An analogue of Hardy's theorem for the Heisenberg group." Colloquium Mathematicae 87.1 (2001): 137-145. <http://eudml.org/doc/284272>.

@article{S2001,
abstract = {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.},
author = {S. Thangavelu},
journal = {Colloquium Mathematicae},
keywords = {Fourier transform; Heisenberg group; heat equation; Rockland operators; unitary representations; Schrödinger operators; Hermite functions},
language = {eng},
number = {1},
pages = {137-145},
title = {An analogue of Hardy's theorem for the Heisenberg group},
url = {http://eudml.org/doc/284272},
volume = {87},
year = {2001},
}

TY - JOUR
AU - S. Thangavelu
TI - An analogue of Hardy's theorem for the Heisenberg group
JO - Colloquium Mathematicae
PY - 2001
VL - 87
IS - 1
SP - 137
EP - 145
AB - 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.
LA - eng
KW - Fourier transform; Heisenberg group; heat equation; Rockland operators; unitary representations; Schrödinger operators; Hermite functions
UR - http://eudml.org/doc/284272
ER -