The sampling theorem for functions with limited multi-band spectrum. I

DOI10.4171/ZAA/550zbMath0786.30019OpenAlexW2566067814MaRDI QIDQ686400

L. Bezuglaya, V. Eh. Katsnel'son

Publication date: 20 October 1993

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/550

zbMATH Keywords

sampling formulacardinal seriesbases of exponentials in \(L^ 2(E)\)interpolation of entire functionsmulti-band spectrumsquare-summable entire functions

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Representations of entire functions of one complex variable by series and integrals (30D10) Special classes of entire functions of one complex variable and growth estimates (30D15)

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