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On spectral analysis in varieties containing the solutions of inhomogeneous linear functional equations | | Gergely Kiss
; Csaba Vincze
; | | Date: |
16 Apr 2017 | | Abstract: | The aim of the paper is to investigate the solutions of special inhomogeneous
linear functional equations by 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 case of homogeneous linear functional equations. The foundation
of the theory can be found in M. Laczkovich and G. Kiss cite{KL}, see also G.
Kiss and A. Varga cite{KV}. We are going to adopt the main theoretical tools
to solve some inhomogeneous problems due to T. Szostok cite{KKSZ08}, see also
cite{KKSZ} and cite{KKSZW}. They are motivated by quadrature rules of
approximate integration. | | Source: | arXiv, 1704.4753 | | Services: | Forum | Review | PDF | Favorites | |
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