Repository logo
  • English
  • Italiano
  • Log In
    Have you forgotten your password?
Repository logo
Repository logo
  • Archive
  • Series/Journals
  • EUT
  • Events
  • Statistics
  • English
  • Italiano
  • Log In
    Have you forgotten your password?
  1. Home
  2. EUT Edizioni Università di Trieste
  3. Periodici
  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.35 (2003)
  6. Functions that are the Directed X-Ray of a Planar Convex Body
 
  • Details
  • Metrics
Options

Functions that are the Directed X-Ray of a Planar Convex Body

Black, William
•
Kimble, Jennifer
•
Koop, David
•
Solmon, Donald C.
2003
Loading...
Thumbnail Image
ISSN
0049-4704
http://hdl.handle.net/10077/4191
  • Article

Abstract
We characterize functions that are the directed X-ray of a planar convex body from a source that is a positive distance from the body. In addition to a concavity condition the necessary and sufficient conditions involve the structure of points of zero curvature and a priori estimates for derivatives of the directed X-ray near supporting rays and points of zero curvature. The techniques employed also lead to explicit methods for constructing families of planar convex bodies with a common directed X-ray.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
35 (2003)
Subjects
  • directed x-ray

  • convex body

Publisher
Università degli Studi di Trieste. Dipartimento di Matematica e Informatica
Source
William Black et al., "Functions that are the Directed X-Ray of a Planar Convex Body", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 35 (2003), pp. 81–115.
Languages
en
File(s)
Loading...
Thumbnail Image
Download
Name

BlackEtAlRendMat35.pdf

Format

Adobe PDF

Size

307.73 KB

Indexed by

 Info

Open Access Policy

Share/Save

 Contacts

EUT Edizioni Università di Trieste

OpenstarTs

 Link

Wiki OpenAcces

Archivio Ricerca ArTS

Built with DSpace-CRIS software - Extension maintained and optimized by 4Science

  • Cookie settings
  • Privacy policy
  • End User Agreement
  • Send Feedback