Mean square decay of Fourier transforms in Euclidean and non Euclidean spaces
Brandolini, Luca ; Colzani, Leonardo ; Torlaschi, Andrea
Tohoku Math. J. (2), Tome 53 (2001) no. 4, p. 467-478 / Harvested from Project Euclid
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We study the asymptotic behavior of the quadratic means on spheres of increasing radius of the Fourier transforms of characteristic functions of sets with smooth boundary. Beside to give different proofs of known Euclidean results, we also consider the non-Euclidean Fourier transform on the two dimensional sphere and the hyperbolic disk.
Publié le : 2001-05-14
Classification:  42B10,  43A30 
@article{1178207421,
     author = {Brandolini, Luca and Colzani, Leonardo and Torlaschi, Andrea},
     title = {Mean square decay of Fourier transforms in Euclidean and non Euclidean spaces},
     journal = {Tohoku Math. J. (2)},
     volume = {53},
     number = {4},
     year = {2001},
     pages = { 467-478},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178207421}
}

Brandolini, Luca; Colzani, Leonardo; Torlaschi, Andrea. Mean square decay of Fourier transforms in Euclidean and non Euclidean spaces. Tohoku Math. J. (2), Tome 53 (2001) no. 4, pp.  467-478. http://gdmltest.u-ga.fr/item/1178207421/