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Fourier transform, L 2 restriction theorem, and scaling

Alex Iosevich — 1999

Bollettino dell'Unione Matematica Italiana

In questo lavoro facciamo vedere, con un argomento di omogeneità di tipo Knapp, che se vale un teorema di restrizione L p , L 2 per una ipersuperficie compatta, convessa e di tipo finito, allora si possono provare stime isotropiche ottimali per la trasformata di Fourier della misura di indotta dalla misura di Lebesgue sulla superficie.

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