# On locally bounded solutions of Schilling's problem

Annales Polonici Mathematici (2001)

- Volume: 76, Issue: 3, page 169-188
- ISSN: 0066-2216

## Access Full Article

top## Abstract

top## How to cite

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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.