1. Recovery of band-limited functions on locally compact Abelian groups from irregular samples
- Creator:
- Feichtinger, H. G. and Pandey, S. S.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- irregular sampling, band-limited functions, locally compact Abelian group, and solid Banach spaces
- Language:
- English
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public