Opuscula Math. 35, no. 6 (2015), 957-972

Opuscula Mathematica

Nontrivial solutions of linear functional equations: methods and examples

Adrienn Varga
Csaba Vincze

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.

Full text (pdf)

Opuscula Mathematica - cover

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

Download this article's citation as:
a .bib file (BibTeX),
a .ris file (RefMan),
a .enw file (EndNote)
or export to RefWorks.

In accordance with EU legislation we advise you this website uses cookies to allow us to see how the site is used. All data is anonymized.
All recent versions of popular browsers give users a level of control over cookies. Users can set their browsers to accept or reject all, or certain, cookies.