Restrictions of Fourier transforms to curves
Annales de l'Institut Fourier, Tome 35 (1985) no. 1, pp. 117-123.

Soitx(t)=(t,1 2t 2 ,1 6t 3 ) une certaine courbe dans R 3 . On étudie les inégalités de la forme {∫|f ^(x(t))| b dt} 1/b ≤C∥f∥ a pour f∈𝒮(R 3). Le résultat améliore un ancien théorème de restriction de Prestini. Ce résultat est généralisé dans certaines directions.

Let x(t)=(t,1 2t 2 ,1 6t 3 ) a certain curve in R 3 . We investigate inequalities of the type {∫|f ^(x(t))| b dt} 1/b ≤C∥f∥ a for f∈𝒮(R 3). Our results improve improve an earlier restriction theorem of Prestini. Various generalizations are also discussed.

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     author = {Drury, S. W.},
     title = {Restrictions of {Fourier} transforms to curves},
     journal = {Annales de l'Institut Fourier},
     pages = {117--123},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {35},
     number = {1},
     year = {1985},
     doi = {10.5802/aif.1001},
     mrnumber = {86e:42026},
     zbl = {0548.42008},
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     url = {http://www.numdam.org/articles/10.5802/aif.1001/}
}
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Drury, S. W. Restrictions of Fourier transforms to curves. Annales de l'Institut Fourier, Tome 35 (1985) no. 1, pp. 117-123. doi : 10.5802/aif.1001. http://www.numdam.org/articles/10.5802/aif.1001/

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