Pseudo shift operators with large images
Colloquium Mathematicum, Tome 93 (2002) no. 1, pp. 131-136
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We give suitable conditions for the existence of many holomorphic functions $f$ on a disc such that the image of any nonempty open subset under the action of pseudo shift operators on $f$ is arbitrarily large. This generalizes an earlier result about images of derivatives and completes another one on infinite order differential operators.
Keywords:
suitable conditions existence many holomorphic functions disc image nonempty subset under action pseudo shift operators arbitrarily large generalizes earlier result about images derivatives completes another infinite order differential operators
Affiliations des auteurs :
M. C. Calderón-Moreno 1
@article{10_4064_cm93_1_8,
author = {M. C. Calder\'on-Moreno},
title = {Pseudo shift operators with large images},
journal = {Colloquium Mathematicum},
pages = {131--136},
publisher = {mathdoc},
volume = {93},
number = {1},
year = {2002},
doi = {10.4064/cm93-1-8},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm93-1-8/}
}
M. C. Calderón-Moreno. Pseudo shift operators with large images. Colloquium Mathematicum, Tome 93 (2002) no. 1, pp. 131-136. doi: 10.4064/cm93-1-8
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