Support theorems for Radon transforms on real analytic line complexes in three-space

Type: Article

Publication Date: 1993-02-01

Citations: 34

DOI: https://doi.org/10.1090/s0002-9947-1993-1080733-8

Abstract

In this article we prove support theorems for Radon transforms with arbitrary nonzero real analytic measures on line complexes (three-dimensional sets of lines) in ${\mathbb {R}^3}$. Let $f$ be a distribution of compact support on ${\mathbb {R}^3}$. Assume $Y$ is a real analytic

Locations

  • Transactions of the American Mathematical Society - View - PDF

Similar Works

Action Title Year Authors
+ PDF Chat Support Theorems for Radon Transforms on Real Analytic Line Complexes in Three-Space 1993 Jan Boman
Eric Todd Quinto
+ PDF Chat A Support Theorem for the Complex Radon Transform of Distributions 2003 A. B. Sekerin
+ The support theorem for the complex Radon transform of distributions 2003 A. B. Sekerin
+ A support theorem for the Radon transform in the complex plane 1993 A. B. Sekerin
+ A support theorem for the Radon transform 1999 A. B. Sekerin
+ PDF Chat Support Theorems for the Radon Transform and Cramér-Wold Theorems 2008 Jan Boman
Filip Lindskog
+ PDF Chat Real Analytic Radon Transforms on Rank One Symmetric Spaces 1993 Eric Todd Quinto
+ Support theorems for the spherical Radon transform on manifolds 2006 Eric Todd Quinto
+ PDF Chat Positive and Complex Radon Measures in Locally Compact Hausdorff Spaces 2002 Panchapagesan T.V.
+ Two-radius support theorems for spherical Radon transforms on manifolds 2000 Yiying Zhou
Eric Todd Quinto
+ PDF Chat Lineally convex domains of finite type: holomorphic support functions 2003 Klas Diederich
John Erik Forn�ss
+ PDF Chat A support theorem for a Gaussian Radon transform in infinite dimensions 2011 Jeremy J. Becnel
Ambar N. Sengupta
+ A Riesz theorem for vector valued Radon measures 1966 Richard Dowds
+ PDF Chat Analytic multipliers of the Radon transform 1978 James V. Peters
+ PDF Chat Support theorems for Radon transforms on higher rank symmetric spaces 1994 Fulton B. Gonzalez
Eric Todd Quinto
+ VECTOR-VALUED HOLOMORPHIC FUNCTIONS ON THE COMPLEX BALL AND THE ANALYTIC RADON-NIKODYM PROPERTY 2000 Zeqian Chen
Caiheng Ouyang
+ PDF Chat Support Theorems for Radon Transforms on Higher Rank Symmetric Spaces 1994 Fulton B. Gonzalez
Eric Todd Quinto
+ Helgason's support theorem for Radon transforms — A new proof and a generalization 1991 Jan Boman
+ Local Support Theorems for the k-Plane Transform on Rn 1994 Josip Globevnik
+ PDF Chat On fourier transforms of measures with compact support 1962 Arne Beurling
Paul Malliavin