Recovery of band-limited functions on locally compact Abelian groups from irregular samples

Title:

Recovery of band-limited functions on locally compact Abelian groups from irregular samples

Creator:

Feichtinger, H. G. and Pandey, S. S.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:f2e9c9e0-bece-4e06-83b4-7cdf0f1411ea
uuid:f2e9c9e0-bece-4e06-83b4-7cdf0f1411ea

Subject:

irregular sampling, band-limited functions, locally compact Abelian group, and solid Banach spaces

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Using the techniques of approximation and factorization of convolution operators we study the problem of irregular sampling of band-limited functions on a locally compact Abelian group $G$. The results of this paper relate to earlier work by Feichtinger and Gröchenig in a similar way as Kluvánek’s work published in 1969 relates to the classical Shannon Sampling Theorem. Generally speaking we claim that reconstruction is possible as long as there is sufficient high sampling density. Moreover, the iterative reconstruction algorithms apply simultaneously to families of Banach spaces.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

249-264

Source:

Czechoslovak Mathematical Journal | 2003 Volume:53 | Number:2

Harvested from:

CDK

Metadata only:

false