Restriction of the Fourier Transform to Some Oscillating Curves
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DOI: 10.1007/s00041-017-9554-6
Abstract: Let $$\phi $$ϕ be a smooth function on a compact interval I. Let $$\begin{aligned} \gamma (t)=\left( t,t^2,\ldots ,t^{n-1},\phi (t)\right) . \end{aligned}$$γ(t)=t,t2,…,tn-1,ϕ(t).In this paper, we show that $$\begin{aligned} \left( \int _I \big |\hat{f}(\gamma (t))\big |^q \big… read more here.
Keywords: restriction; transform oscillating; end aligned; restriction fourier ... See more keywords