Convolutional representations of the commutant of the partial integration operators in the space of continuous functions in a rectangle are found. Necessary and sufficient conditions are obtained for two types of representing functions, to be the operators in the commutant continuous automorphisms. It is shown that these conditions are equivalent to the requirement that the considered representing functions be joint cyclic elements of the partial integration operators.
@article{bwmeta1.element.bwnjournal-article-bcpv53z1p167bwm,
author = {Mincheva, Svetlana},
title = {Automorphisms of C commuting with partial integration operators in a rectangle},
journal = {Banach Center Publications},
volume = {51},
year = {2000},
pages = {167-176},
zbl = {0972.47033},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv53z1p167bwm}
}
Mincheva, Svetlana. Automorphisms of C commuting with partial integration operators in a rectangle. Banach Center Publications, Tome 51 (2000) pp. 167-176. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv53z1p167bwm/
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