Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
MEAN SQUARE DECAY OF FOURIER TRANSFORMS IN EUCLIDEAN AND NON EUCLIDEAN SPACES
LUCA BRANDOLINILEONARDO COLZANIANDREA TORLASCHI
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2001 年 53 巻 3 号 p. 467-478

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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.
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© 2001 by THE TOHOKU UNIVERSITY
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