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

Brandolini, L., Colzani, L., Torlaschi, A. (2001). Mean square decay of Fourier transforms in Euclidean and non Euclidean spaces. TOHOKU MATHEMATICAL JOURNAL, 53(3), 467-478 [10.2748/tmj/1178207421].

Mean square decay of Fourier transforms in Euclidean and non Euclidean spaces

Colzani, L;
2001

Abstract

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
Articolo in rivista - Articolo scientifico
Euclidean space; decay; Fourier transforms; hyperbolic disk
English
2001
53
3
467
478
none
Brandolini, L., Colzani, L., Torlaschi, A. (2001). Mean square decay of Fourier transforms in Euclidean and non Euclidean spaces. TOHOKU MATHEMATICAL JOURNAL, 53(3), 467-478 [10.2748/tmj/1178207421].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/19383
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