On locally bounded solutions of Schilling's problem
Annales Polonici Mathematici (2001)
- Volume: 76, Issue: 3, page 169-188
- ISSN: 0066-2216
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topJanusz Morawiec. "On locally bounded solutions of Schilling's problem." Annales Polonici Mathematici 76.3 (2001): 169-188. <http://eudml.org/doc/280686>.
@article{JanuszMorawiec2001,
abstract = {
We prove that for some parameters q ∈ (0,1) every solution f:ℝ → ℝ of the functional equation
f(qx) = 1/(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.
},
author = {Janusz Morawiec},
journal = {Annales Polonici Mathematici},
keywords = {Schilling's problem; functional equations; locally bounded solutions},
language = {eng},
number = {3},
pages = {169-188},
title = {On locally bounded solutions of Schilling's problem},
url = {http://eudml.org/doc/280686},
volume = {76},
year = {2001},
}
TY - JOUR
AU - Janusz Morawiec
TI - On locally bounded solutions of Schilling's problem
JO - Annales Polonici Mathematici
PY - 2001
VL - 76
IS - 3
SP - 169
EP - 188
AB -
We prove that for some parameters q ∈ (0,1) every solution f:ℝ → ℝ of the functional equation
f(qx) = 1/(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.
LA - eng
KW - Schilling's problem; functional equations; locally bounded solutions
UR - http://eudml.org/doc/280686
ER -
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