Article (Scientific journals)
On spectral analysis in varieties containing the solutions of inhomogeneous linear functional equations
Kiss, Gergely; Vincze, Csaba
2017In Aequationes Mathematicae
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Keywords :
Linear functional equations; Spectral analysis; Spectral synthesis
Abstract :
[en] The aim of the paper is to investigate the solutions of special inhomogeneous linear functional equations using spectral analysis in a translation invariant closed linear subspace of additive/multiadditive functions containing the restrictions of the solutions to finitely generated fields. The application of spectral analysis in some related varieties is a new and important trend in the theory of functional equations; especially they have successful applications in the case of homogeneous linear functional equations. The foundations of the theory can be found in Kiss and Varga (Aequat Math 88(1):151–162, 2014) and Kiss and Laczkovich (Aequat Math 89(2):301–328, 2015). We are going to adopt the main theoretical tools to solve some inhomogeneous problems due to Koclȩga-Kulpa and Szostok (Ann Math Sylesianae 22:27–40, 2008), see also Koclȩga-Kulpa and Szostok (Georgian Math J 16:725–736, 2009; Acta Math Hung 130(4):340–348, 2011). They are motivated by quadrature rules of approximate integration.
Disciplines :
Mathematics
Author, co-author :
Kiss, Gergely ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Vincze, Csaba;  University of Debrecen
External co-authors :
yes
Language :
English
Title :
On spectral analysis in varieties containing the solutions of inhomogeneous linear functional equations
Publication date :
2017
Journal title :
Aequationes Mathematicae
ISSN :
1420-8903
Publisher :
Springer, Basel, Switzerland
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBilu :
since 30 May 2017

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