Sampling and interpolation for a lacunary spectrum

Yu Lyubarskii, I. Spitkovsky

Research output: Contribution to journalArticle

Abstract

We reduce the problem of constructing a sampling and interpolating set for the space of functions with limited multi-band spectra to a problem of invertibility of certain convolution operators on a system of intervals, and obtain an example of such a set located in a horizontal strip along the real axis. We also study the question of sampling of a signal with two-banded spectra via its values at the union of two arithmetic progressions.

Original languageEnglish (US)
Pages (from-to)77-87
Number of pages11
JournalRoyal Society of Edinburgh - Proceedings A
Volume126
Issue number1
DOIs
StatePublished - 1996

ASJC Scopus subject areas

  • Mathematics(all)

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