Year: 2013
Type: preprint
Abstract: We introduce a new method for the reconstruction of a function from linear measurements by means of oblique projections. The space spanned by the measurement vectors may be different from the subspace in which the function is reconstructed. This method is a variation of the generalized sampling of Adcock and Hansen. In many cases the use of suitable oblique projections yield a better quasi-optimality constants than in generalized sampling.
Source: arXiv (Cornell University)
Authors: Berger, Peter, Gröchenig, Karlheinz
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Austrian Science Fund
Award: G3653508501
OpenAlex ID: W2475745365