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| Home > Articles > Published articles > Some remarks on restriction of the Fourier transform for general measures |
| Date: | 1999 |
| Abstract: | In this paper we establish a formal connection between the average decay of the Fourier transform of functions with espect to a given measure and the Hausdorff behavior of that measure. We also present a generalization of the classical restriction theorem of Stein and Tomas replacing the sphere with sets of prefixed Hausdorff dimension n - 1 + [alpha], with 0 < [alpha] < 1. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Published in: | Publicacions matemàtiques, V. 43 N. 2 (1999) , p. 655-664, ISSN 2014-4350 |
