Opuscula Mathematica
Opuscula Math. 35, no. 6 (), 957-972
Opuscula Mathematica

Nontrivial solutions of linear functional equations: methods and examples

Abstract. For a wide class of linear functional equations the solutions are generalized polynomials. The existence of non-trivial monomial terms of the solution strongly depends on the algebraic properties of some related families of parameters. As a continuation of the previous work [A. Varga, Cs. Vincze, G. Kiss, Algebraic methods for the solution of linear functional equations, Acta Math. Hungar.] we are going to present constructive algebraic methods of the solution in some special cases. Explicit examples will be also given.
Keywords: linear functional equations, spectral analysis, field homomorphisms.
Mathematics Subject Classification: 39B22.
Cite this article as:
Adrienn Varga, Csaba Vincze, Nontrivial solutions of linear functional equations: methods and examples, Opuscula Math. 35, no. 6 (2015), 957-972, http://dx.doi.org/10.7494/OpMath.2015.35.6.957
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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