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A deconvolution problem related to a singular system
Authors:A Favini  V Maksimov
Institution:a Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato 5, I-40126 Bologna, Italy
b Institute of Mathematics and Mechanics, Ural Branch, Acad. Sci. of Russia, S. Kovalevskaya St. 16, 620219 Ekaterinburg, Russia
c Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy
Abstract:We present a recursive deconvolution algorithm for a Volterra integral equation which corresponds to a singular differential equation in a Hilbert space. The algorithm is robust with respect to errors in the sampling of the output, and to the sampling times.
Keywords:Deconvolution  Singular systems  Inverse problems
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