Bounded Rank-one Perturbations in Sampling Theory

Details Bounded Rank-one Perturbations in Sampling Theory Bounded Rank-one Perturbations in Sampling Theory

2007-01-17

arxiv.org/abs/math/0701492v2

Mathematics

Classical Analysis and ODEs

13 pages; v2: minor corrections on grammar and spelling, some of the statements are now more accurate

Scientific paper

Sampling theory concerns the problem of reconstruction of functions from the
knowledge of their values at some discrete set of points. In this paper we
derive an orthogonal sampling theory and associated Lagrange interpolation
formulae from a family of bounded rank-one perturbations of a self-adjoint
operator that has only discrete spectrum of multiplicity one.

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