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Browsing by Subject "field homomorphisms"

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    Item type:Article, Access status: Open Access ,
    Nontrivial solutions of linear functional equations: methods and examples
    (2015) Varga, Adrienn; Vincze, Csaba
    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.