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Sampling Theorems for Stochastic Signals. Appraisal of Paul L. Butzer’s Work

1
Faculty of Maritime Studies, University of Rijeka, Studentska 2, 51000 Rijeka, Croatia
2
Institute of Applied Mathematics, Óbuda University, Bécsi út 96/b, 1034 Budapest, Hungary
Axioms 2019, 8(3), 91; https://doi.org/10.3390/axioms8030091
Received: 29 June 2019 / Revised: 25 July 2019 / Accepted: 29 July 2019 / Published: 1 August 2019
(This article belongs to the Special Issue Harmonic Analysis and Applications)
The sampling reconstruction theory is one of the great areas of the analysis in which Paul Leo Butzer earned longstanding and excellent theoretical results. Thus, we are forced either by earlier exhaustive presentations of his research activity and/or the highly voluminous material to restrict ourselves to a more narrow and precise sub-area in consideration; we discuss here, giving deeper insight, Paul Butzer’s sampling theoretical work with special attention concerning sampling stochastic signals. View Full-Text
Keywords: WKS sampling theorems; weak sense stationary stochastic processes; stochastic signal; bandlimited processes; Karhunen-Cramér theorem; correlation function; spectral representations; mean–square sampling reconstruction WKS sampling theorems; weak sense stationary stochastic processes; stochastic signal; bandlimited processes; Karhunen-Cramér theorem; correlation function; spectral representations; mean–square sampling reconstruction
MDPI and ACS Style

Pogány, T.K. Sampling Theorems for Stochastic Signals. Appraisal of Paul L. Butzer’s Work. Axioms 2019, 8, 91.

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