A sampling theorem on homogeneous manifolds

By Isaac Z. Pesenson. 2000

125 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/842c4df2b8ea73c3fa14cf9218eb2a053be3f4ef

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Hartmut Fuhr
2. N. B. Andersen
3. Marcel de Jeu
4. Isaac Z. Pesenson

In Computational Theory and Mathematics

1. Hartmut Fuhr
2. N. B. Andersen
3. Marcel de Jeu

In Mathematical Physics

1. Isaac Z. Pesenson
2. N. B. Andersen
3. Hartmut Fuhr
4. Marcel de Jeu

Citations in the corpus

• REAL PALEY―WIENER THEOREMS AND LOCAL SPECTRAL RADIUS FORMULAS (2008, result): “Finally, we mention results by Pesenson in a similar vein, see [49], [50], [51], [52], [53].”
• Abstract Harmonic Analysis of Continuous Wavelet Transforms (2005, background): “By contrast, Pesenson [98, 99, 100] studies stratified Lie groups G, and his notion of bandlimitedness is of a geometric rather than a representationtheoretic nature.”
• Sampling of Band-Limited Vectors (2001, background): “For the case that D is the square root of the Laplace-Beltrami on a Riemannian manifold or a sub-Laplacian on a stratified group inequalities (1.1) and (1.2) were established (in [ 4 ]‐[8]) for collections of delta functions corresponding to points xν, where the corresponding points on a manifold M ”
• Sampling in paley-wiener spaces on combinatorial graphs (2008, background): “The next theorem can be considered as a form of the Paley-Wiener theorem, and it follows from a more general result in [27].”