Sharp Sobolev regularity of restricted X-ray transforms

Hyerim Ko, Sanghyuk Lee, Sewook Oh

Type: Preprint

Publication Date: 2021-01-01

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2111.04339

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+ 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
+	A Bessel function multiplier	1999	Daniel M. Oberlin Hart F. Smith
+	𝐿^{𝑝} improving bounds for averages along curves	2003	Terence Tao James Wright
+ PDF Chat	Fourier integral operators with fold singularities.	1994	Andreas Seeger Allan Greenleaf
+	Estimates for singular radon transforms and pseudodifferential operators with singular symbols	1990	Allan Greenleaf Günther Uhlmann
+ PDF Chat	$L^p$-improving properties of averages on polynomial curves and related integral estimates	2009	Philip T. Gressman
+	Fourier integral operators with cusp singularities	1998	Allan Greenleaf Andreas Seeger
+	Nonlocal inversion formulas for the X-ray transform	1989	Allan Greenleaf Günther Uhlmann
+ PDF Chat	Mixed norm estimates for a restricted X-ray transform	2002	Michael Christ M. Burak Erdoğan
+ PDF Chat	An Estimate For a Restricted X-Ray Transform	2000	Daniel M. Oberlin