✦ LIBER ✦

A support theorem for the X-ray transform

✍ Scribed by Josip Globevnik

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 225 KB
Volume: 165
Category: Article
ISSN: 0022-247X
DOI: 10.1016/0022-247x(92)90079-s

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Two Radius Support Theorem for the Spher

Two Radius Support Theorem for the Sphere Transform

✍ Yiying Zhou 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 198 KB

We prove support theorems and injectivity for the sphere transform on restricted sets of spheres. We consider spheres with restricted sets of centers and two fixed Ž radii. The proof of these theorems is based on E.

The spherical X-ray transform

✍ P. Cerejeiras; H. Schaeben; F. Sommen 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 134 KB

## Abstract The general objective of this communication is to present the basics of mathematical texture analysis as part of integral geometry involving spherical analogues of the X‐ray and Radon transform, and in particular to clarify its relationship with mathematical tomography. Copyright © 2002

X-Ray Transform, the Legendre Transform,

X-Ray Transform, the Legendre Transform, and Envelopes

✍ A.G. Ramm; A.I. Zaslavsky 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 726 KB

Local Support Theorems for the k-Plane T

Local Support Theorems for the k-Plane Transform on Rn

✍ J. Globevnik 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 272 KB

A support theorem for quasianalytic func

A support theorem for quasianalytic functionals

✍ Tobias Heinrich; Reinhold Meise 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 306 KB

## Abstract For a weight function __ω__ and an open set __G__ in ℝ^__N__^ denote by ℰ(__ω__)(__G__) (resp. __E__~{__ω__ }~(__G__)) the __ω__ ‐ultradifferentiable functions of Beurling (resp. Roumieu) type on __G__. Using ideas of Hörmander it is shown that the functionals __u__ in ℰ′(__ω__)(__G__)

Range of the X-Ray Transform on Trees

✍ E.C. Tarabusi; J.M. Cohen; M.A. Picardello 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 589 KB

The \(\mathrm{X}\)-ray transformation assigns to a function on a space the function induced on the geodesics by integration. We characterize the image of this transformation on trees (not necessarily homogeneous) in terms of algebraic and decay conditions. The case of finite support, or of finite tr