On Sampling Formulas on Symmetric Spaces

On Sampling Formulas on Symmetric Spaces

We give a sampling formula using the Radon transform along a maximal geodesic subspace of the Riemannian symmetric space. For the real hyperbolic space we can get a total sampling formula. To get this formula, we prepare a sampling formula for the sphere.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:The Journal of fourier analysis and applications 2006-02, Vol.12 (1), p.1-15
Hauptverfasser: Ebata, Mitsuhiko, Eguchi, Masaaki, Koizumi, Shin, Kumahara, Keisaku
Format: Artikel
Sprache:eng
Schlagworte:
Fourier analysis
Hyperbolic coordinates
Radon transformation
Sampling
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We give a sampling formula using the Radon transform along a maximal geodesic subspace of the Riemannian symmetric space. For the real hyperbolic space we can get a total sampling formula. To get this formula, we prepare a sampling formula for the sphere.
ISSN:1069-5869
1531-5851
DOI:10.1007/s00041-005-4014-0