On solvable operators which imply the general solution of a polygonal functional equation on the real plane

• Autores: Shigeru Haruki, Shin-ichi Nakagiri
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 67, Nº. 1-2, 2004, págs. 169-174
• Idioma: inglés
• DOI: 10.1007/s00010-003-2705-7
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• Resumen

  • We show that the ideal generated by particular finite linear combinations of shift operators in R x R contains certain operators whose associated equations can be solved. Since these solutions include all solutions to the equations whose operators generated the ideal, they can then be used to solve a polygonal functional equation in R x R without regularlity assumptions.