On theorems of Beurling and Hardy for the Euclidean Motion group
Sarkar, Rudra P. ; Thangavelu, Sundaram
Tohoku Math. J. (2), Tome 57 (2005) no. 1, p. 335-351 / Harvested from Project Euclid
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We establish an analogue of Beurling's uncertainty principle for the group Fourier transform on the Euclidean motion group. We also prove the most general version of Hardy's theorem on it which characterises functions on the motion group that are controlled by the heat kernel associated to the Laplacian of the Euclidean space.
Publié le : 2005-09-14
Classification:  Beurling's Theorem,  Hardy's Theorem,  Motion group,  43A80,  22E 
@article{1128703001,
     author = {Sarkar, Rudra P. and Thangavelu, Sundaram},
     title = {On theorems of Beurling and Hardy for the Euclidean Motion group},
     journal = {Tohoku Math. J. (2)},
     volume = {57},
     number = {1},
     year = {2005},
     pages = { 335-351},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1128703001}
}

Sarkar, Rudra P.; Thangavelu, Sundaram. On theorems of Beurling and Hardy for the Euclidean Motion group. Tohoku Math. J. (2), Tome 57 (2005) no. 1, pp.  335-351. http://gdmltest.u-ga.fr/item/1128703001/