Composition in ultradifferentiable classes
Studia Mathematica (2014)
- Volume: 224, Issue: 2, page 97-131
- ISSN: 0039-3223
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topArmin Rainer, and Gerhard Schindl. "Composition in ultradifferentiable classes." Studia Mathematica 224.2 (2014): 97-131. <http://eudml.org/doc/285566>.
@article{ArminRainer2014,
abstract = {We characterize stability under composition of ultradifferentiable classes defined by weight sequences M, by weight functions ω, and, more generally, by weight matrices , and investigate continuity of composition (g,f) ↦ f ∘ g. In addition, we represent the Beurling space $^\{(ω)\}$ and the Roumieu space $^\{ω\}$ as intersection and union of spaces $^\{(M)\}$ and $^\{M\}$ for associated weight sequences, respectively.},
author = {Armin Rainer, Gerhard Schindl},
journal = {Studia Mathematica},
keywords = {ultradifferentiable functions; composition},
language = {eng},
number = {2},
pages = {97-131},
title = {Composition in ultradifferentiable classes},
url = {http://eudml.org/doc/285566},
volume = {224},
year = {2014},
}
TY - JOUR
AU - Armin Rainer
AU - Gerhard Schindl
TI - Composition in ultradifferentiable classes
JO - Studia Mathematica
PY - 2014
VL - 224
IS - 2
SP - 97
EP - 131
AB - We characterize stability under composition of ultradifferentiable classes defined by weight sequences M, by weight functions ω, and, more generally, by weight matrices , and investigate continuity of composition (g,f) ↦ f ∘ g. In addition, we represent the Beurling space $^{(ω)}$ and the Roumieu space $^{ω}$ as intersection and union of spaces $^{(M)}$ and $^{M}$ for associated weight sequences, respectively.
LA - eng
KW - ultradifferentiable functions; composition
UR - http://eudml.org/doc/285566
ER -
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