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Inversion of convolution equations on a finite interval and realization triples

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Abstract

This paper develops further the connections between convolution equations and realization triples. Here the emphasis is on equations on a finite interval. For each system of equations an operator (called indicator) is introduced which can be used to describe the inversion properties of the system. This indicator may be of simpler form than the convolution operator defined by the equations even for the case when the corresponding symbol is non-rational

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Authors and Affiliations

  1. Subfaculteit Wiskunde en Informatica, Vrije Universiteit, Postbus 7161, 1007 MC, Amsterdam, The Netherlands

    M. A. Kaashoek

  2. Schoolstraat 18, 1901 EV, Castricum, The Netherlands

    J. N. M. Schermer

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  1. M. A. Kaashoek
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  2. J. N. M. Schermer
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Kaashoek, M.A., Schermer, J.N.M. Inversion of convolution equations on a finite interval and realization triples. Integr equ oper theory 13, 76–103 (1990). https://doi.org/10.1007/BF01195294

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  • DOI: https://doi.org/10.1007/BF01195294

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