A theorem of Hardy asserts that a function on the real line and its Fourier transform cannot both be very small. We generalize Hardy’s theorem for the Heckman-Opdam transform associated with hypergeometric functions.
Publié le : 2001-05-15
Classification:
43A30,
33C60,
43A85
@article{1250517631,
author = {Shimeno, Nobukazu},
title = {An analogue of Hardy's theorem for the Heckman-Opdam transform},
journal = {J. Math. Kyoto Univ.},
volume = {41},
number = {4},
year = {2001},
pages = { 251-256},
language = {en},
url = {http://dml.mathdoc.fr/item/1250517631}
}
Shimeno, Nobukazu. An analogue of Hardy’s theorem for the Heckman-Opdam transform. J. Math. Kyoto Univ., Tome 41 (2001) no. 4, pp. 251-256. http://gdmltest.u-ga.fr/item/1250517631/