location:  Publications → journals
Search results

Search: MSC category 42B10 ( Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type )

 Expand all        Collapse all Results 1 - 3 of 3

1. CMB 2011 (vol 56 pp. 326)

Erdoğan, M. Burak; Oberlin, Daniel M.
 Restricting Fourier Transforms of Measures to Curves in \$\mathbb R^2\$ We establish estimates for restrictions to certain curves in \$\mathbb R^2\$ of the Fourier transforms of some fractal measures. Keywords:Fourier transforms of fractal measures, Fourier restrictionCategories:42B10, 28A12

2. CMB 2010 (vol 54 pp. 172)

Shayya, Bassam
 Measures with Fourier Transforms in \$L^2\$ of a Half-space We prove that if the Fourier transform of a compactly supported measure is in \$L^2\$ of a half-space, then the measure is absolutely continuous to Lebesgue measure. We then show how this result can be used to translate information about the dimensionality of a measure and the decay of its Fourier transform into geometric information about its support. Categories:42B10, 28A75

3. CMB 2005 (vol 48 pp. 260)

Oberlin, Daniel M.
 A Restriction Theorem for a \\\$k\$-Surface in \$\mathbb R ^n\$ We establish a sharp Fourier restriction estimate for a measure on a \$k\$-surface in \$\mathbb R ^n\$, where \$n=k(k+3)/2\$. Keywords:Fourier restrictionCategory:42B10