Nontrivial solutions of linear functional equations: methods and examples

Nontrivial solutions of linear functional equations: methods and examples

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....

Full description

Bibliographic Details
Main Authors: Adrienn Varga, Csaba Vincze
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2015-01-01
Series:Opuscula Mathematica
Subjects:
linear functional equations
spectral analysis
field homomorphisms
Online Access:http://www.opuscula.agh.edu.pl/vol35/6/art/opuscula_math_3549.pdf
id doaj-87f47d388cb440108dfc5bf83869265e
record_format Article
spelling doaj-87f47d388cb440108dfc5bf83869265e2020-11-24T20:54:59ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742015-01-01356957972http://dx.doi.org/10.7494/OpMath.2015.35.6.9573549Nontrivial solutions of linear functional equations: methods and examplesAdrienn Varga0Csaba Vincze1University of Debrecen, H-4010 Debrecen, P.O. Box 12, HungaryUniversity of Debrecen, H-4010 Debrecen, P.O. Box 12, HungaryFor 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.http://www.opuscula.agh.edu.pl/vol35/6/art/opuscula_math_3549.pdflinear functional equationsspectral analysisfield homomorphisms
collection DOAJ
language English
format Article
sources DOAJ
author Adrienn Varga
Csaba Vincze
spellingShingle Adrienn Varga
Csaba Vincze
Nontrivial solutions of linear functional equations: methods and examples
Opuscula Mathematica
linear functional equations
spectral analysis
field homomorphisms
author_facet Adrienn Varga
Csaba Vincze
author_sort Adrienn Varga
title Nontrivial solutions of linear functional equations: methods and examples
title_short Nontrivial solutions of linear functional equations: methods and examples
title_full Nontrivial solutions of linear functional equations: methods and examples
title_fullStr Nontrivial solutions of linear functional equations: methods and examples
title_full_unstemmed Nontrivial solutions of linear functional equations: methods and examples
title_sort nontrivial solutions of linear functional equations: methods and examples
publisher AGH Univeristy of Science and Technology Press
series Opuscula Mathematica
issn 1232-9274
publishDate 2015-01-01
description 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.
topic linear functional equations
spectral analysis
field homomorphisms
url http://www.opuscula.agh.edu.pl/vol35/6/art/opuscula_math_3549.pdf
work_keys_str_mv AT adriennvarga nontrivialsolutionsoflinearfunctionalequationsmethodsandexamples
AT csabavincze nontrivialsolutionsoflinearfunctionalequationsmethodsandexamples
_version_ 1716793063024623616

Similar Items