TY  - JOUR
ID  - Varga2015
LB  - Varga2015
AU  - Varga, Adrienn
AU  - Vincze, Csaba
TI  - Nontrivial solutions of linear functional equations: methods and examples
ST  - Nontrivial solutions of linear functional equations: methods and examples
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2015
VL  - 35
IS  - 6
SP  - 957
EP  - 972
DO  - http://dx.doi.org/10.7494/OpMath.2015.35.6.957
UR  - http://dx.doi.org/10.7494/OpMath.2015.35.6.957
AB  - 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.
KW  - linear functional equations
KW  - spectral analysis
KW  - field homomorphisms
SN  - 1232-9274
ER  -