Deconvolution of band limited functions on non-compact symmetric spaces

Details Deconvolution of band limited functions on non-compact symmetric spaces Deconvolution of band limited functions on non-compact symmetric spaces

2011-08-29

arxiv.org/abs/1108.5634v1

Houston J. Math. 32 (2006), no. 1, 183-204

Mathematics

Functional Analysis

Scientific paper

It is shown that a band limited function on a non-compact symmetric space can be reconstructed in a stable way from some countable sets of values of its convolution with certain distributions of compact support. A reconstruction method in terms of frames is given which is a generalization of the classical result of Duffin-Schaeffer about exponential frames on intervals. The second reconstruction method is given in terms of polyharmonic average splines.

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