Geodesic
On locally bounded solutions of Schilling's problem
Janusz Morawiec1
1 Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland
Annales Polonici Mathematici, Tome 76 (2001) no. 3, pp. 169-188

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that for some parameters $q\in (0,1)$ every solution $f:{\mathbb R}\rightarrow {\mathbb R}$ of the functional equation $$ f(qx)={1\over 4q}[f(x-1)+f(x+1)+2f(x)] $$ which vanishes outside the interval $[-{q} /({1-q}),{q}/({1-q})]$ and is bounded in a neighbourhood of a point of that interval vanishes everywhere.
DOI : 10.4064/ap76-3-1
Keywords: prove parameters every solution mathbb rightarrow mathbb functional equation x which vanishes outside interval q q bounded neighbourhood point interval vanishes everywhere

Janusz Morawiec 1

1 Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland 
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Janusz Morawiec. On locally bounded solutions
of Schilling's problem. Annales Polonici Mathematici, Tome 76 (2001) no. 3, pp. 169-188. doi: 10.4064/ap76-3-1

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