An Estimate For a Restricted X-Ray Transform

Daniel M. Oberlin

Type: Article

Publication Date: 2000-12-01

Citations: 15

DOI: https://doi.org/10.4153/cmb-2000-055-8

Abstract

Abstract This paper contains a geometric proof of an estimate for a restricted x-ray transform. The result complements one of A. Greenleaf and A. Seeger.

Locations

Canadian Mathematical Bulletin - View - PDF

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Works That Cite This (13)

Action	Title	Year	Authors
+	Sharp Sobolev regularity of restricted X-ray transforms	2021	Hyerim Ko Sanghyuk Lee Sewook Oh
+ PDF Chat	Mixed norm estimates for a restricted X-ray transform	2002	Michael Christ M. Burak Erdoğan
+	$L^p$ improving bounds for averages along curves	2001	Terence Tao Jim A. Wright
+	Uniform estimates for the X-ray transform restricted to polynomial curves	2012	Spyridon Dendrinos Betsy Stovall
+ PDF Chat	Packing spheres and fractal Strichartz estimates in $\mathbb {R}^d$ for $d\geq 3$	2006	Daniel M. Oberlin
+	𝐿^{𝑝} improving bounds for averages along curves	2003	Terence Tao James Wright
+ PDF Chat	On X-ray transforms for rigid line complexes and integrals over curves in $\mathbb {R}^4$	1999	Allan Greenleaf Andreas Seeger Stephen Wainger
+	Oscillatory and Fourier Integral operators with degenerate canonical relations	2002	Allan Greenleaf Andreas Seeger
+ PDF Chat	Sharp Sobolev regularity of restricted X-ray transforms	2023	Hyerim Ko Sanghyuk Lee Sewook Oh
+ PDF Chat	Oscillatory and Fourier integral operators with degenerate canonical relations	2002	Allan Greenleaf Andreas Seeger

Works Cited by This (6)

Action	Title	Year	Authors
+	Fractional dimensions and bounded fractional forms	1985	Ron C. Blei
+	Fourier integral operators with cusp singularities	1998	Allan Greenleaf Andreas Seeger
+	Lp-Lq mapping properties of the radon transform	1983	Daniel M. Oberlin
+ PDF Chat	Convolution estimates for some measures on curves	1987	Daniel M. Oberlin
+ PDF Chat	Damping oscillatory integrals with polynomial phase.	1993	David Mcmichael
+ PDF Chat	On the Restriction of The Fourier Transform to Curves: Endpoint Results and The Degenerate Case	1985	Michael Christ