We consider Fourier transforms (mu) over cap of densities supported on curves in R-d. We obtain sharp lower and close to sharp upper bounds for the decay rates of parallel to(mu) over cap (R.)parallel to(Lq (Sd-1)), as R -> infinity.

Brandolini, L., Gigante, G., Greenleaf, A., Iosevich, A., Seeger, A., Travaglini, G. (2007). Average decay estimates for Fourier transforms of measures supported on curves. THE JOURNAL OF GEOMETRIC ANALYSIS, 17(1), 15-40 [10.1007/BF02922080].

Average decay estimates for Fourier transforms of measures supported on curves

TRAVAGLINI, GIANCARLO
2007

Abstract

We consider Fourier transforms (mu) over cap of densities supported on curves in R-d. We obtain sharp lower and close to sharp upper bounds for the decay rates of parallel to(mu) over cap (R.)parallel to(Lq (Sd-1)), as R -> infinity.
Articolo in rivista - Articolo scientifico
Fourier transforms of densities on curves; L-q average decay
English
2007
17
1
15
40
none
Brandolini, L., Gigante, G., Greenleaf, A., Iosevich, A., Seeger, A., Travaglini, G. (2007). Average decay estimates for Fourier transforms of measures supported on curves. THE JOURNAL OF GEOMETRIC ANALYSIS, 17(1), 15-40 [10.1007/BF02922080].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/5567
Citazioni
  • Scopus 12
  • ???jsp.display-item.citation.isi??? 13
Social impact