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| Página principal > Artículos > Artículos publicados > Some remarks on restriction of the Fourier transform for general measures |
| Fecha: | 1999 |
| Resumen: | 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. |
| Derechos: | Tots els drets reservats.  |
| Lengua: | Anglès |
| Documento: | Article ; recerca ; Versió publicada |
| Publicado en: | Publicacions matemàtiques, V. 43 N. 2 (1999) , p. 655-664, ISSN 2014-4350 |
