Poincaré-type inequalities and reconstruction of Paley-Wiener functions on manifolds
type: Item
instance of: scholarly article
title: Poincaré-type inequalities and reconstruction of Paley-Wiener functions on manifolds
zbMATH Open document ID: 1080.42024
DOI: 10.1007/BF02921868
published in: The Journal of Geometric Analysis
publication date: 2004-06-08T00:00:00Z
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 41A17
Mathematics Subject Classification ID: 43A85
zbMATH DE Number: 2070482
zbMATH Keywords: Poincaré inequality on manifolds
zbMATH Keywords: Laplace-Beltrami operator
zbMATH Keywords: band-limited functions on manifolds
zbMATH Keywords: splines on manifolds
zbMATH Keywords: sampling theorem on manifolds
author: Isaac Z. Pesenson
MaRDI profile type: Publication
cites work: Q4027566
cites work: Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
cites work: Q4365116
cites work: Sobolev spaces on Riemannian manifolds
cites work: Q3992486
cites work: Analysis on geodesic balls of sub-elliptic operators
cites work: Q3977169
cites work: Reconstruction of Paley-Wiener functions on the Heisenberg group
cites work: Sampling of Paley-Wiener functions on stratified groups
cites work: A reconstruction formula for band limited functions in $L_2(R^d)$
cites work: A sampling theorem on homogeneous manifolds
cites work: Sampling of band-limited vectors
cites work: An index theorem on open manifolds. I. II
cites work: Q5680530
cites work: Analysis of the Laplacian on a complete Riemannian manifold
description: scientific article; zbMATH DE number 2070482