On solutions of functional equations determining subsemigroups of L¹₄
Janina Chodukowska; Zbigniew Marciniak
Colloquium Mathematicae (2010)
- Volume: 119, Issue: 2, page 181-192
- ISSN: 0010-1354
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topJanina Chodukowska, and Zbigniew Marciniak. "On solutions of functional equations determining subsemigroups of L¹₄." Colloquium Mathematicae 119.2 (2010): 181-192. <http://eudml.org/doc/283762>.
@article{JaninaChodukowska2010,
abstract = {Let L¹₄ be the group of 4-jets at zero of diffeomorphisms f of ℝ with f(0) = 0. Identifying jets with sequences of derivatives, we determine all subsemigroups of L¹₄ consisting of quadruples (x₁,f(x₁,x₄),g(x₁,x₄),x₄) ∈ (ℝ∖\{0\}) × ℝ³ with continuous functions f,g:(ℝ∖\{0\}) × ℝ → ℝ. This amounts to solving a set of functional equations.},
author = {Janina Chodukowska, Zbigniew Marciniak},
journal = {Colloquium Mathematicae},
keywords = {functional equations; jets of local diffeomorphisms; subsemigroup},
language = {eng},
number = {2},
pages = {181-192},
title = {On solutions of functional equations determining subsemigroups of L¹₄},
url = {http://eudml.org/doc/283762},
volume = {119},
year = {2010},
}
TY - JOUR
AU - Janina Chodukowska
AU - Zbigniew Marciniak
TI - On solutions of functional equations determining subsemigroups of L¹₄
JO - Colloquium Mathematicae
PY - 2010
VL - 119
IS - 2
SP - 181
EP - 192
AB - Let L¹₄ be the group of 4-jets at zero of diffeomorphisms f of ℝ with f(0) = 0. Identifying jets with sequences of derivatives, we determine all subsemigroups of L¹₄ consisting of quadruples (x₁,f(x₁,x₄),g(x₁,x₄),x₄) ∈ (ℝ∖{0}) × ℝ³ with continuous functions f,g:(ℝ∖{0}) × ℝ → ℝ. This amounts to solving a set of functional equations.
LA - eng
KW - functional equations; jets of local diffeomorphisms; subsemigroup
UR - http://eudml.org/doc/283762
ER -
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