An analogue of Hardy's theorem for the Harish-Chandra transform
Shimeno, Nobukazu
Hiroshima Math. J., Tome 31 (2001) no. 2, p. 383-390 / Harvested from Project Euclid
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A theorem of Hardy asserts that a function and its Fourier transform cannot both be very small. We prove analogues of Hardy’s theorem for the Harish- Chandra transform for spherical functions on a non-compact semisimple Lie group and the Helgason transform on a Riemannian symmetric space of the non-compact type.
Publié le : 2001-11-14
Classification:  22E30,  22E46 
@article{1151105726,
     author = {Shimeno, Nobukazu},
     title = {An analogue of Hardy's theorem for the Harish-Chandra transform},
     journal = {Hiroshima Math. J.},
     volume = {31},
     number = {2},
     year = {2001},
     pages = { 383-390},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1151105726}
}

Shimeno, Nobukazu. An analogue of Hardy's theorem for the Harish-Chandra transform. Hiroshima Math. J., Tome 31 (2001) no. 2, pp.  383-390. http://gdmltest.u-ga.fr/item/1151105726/