Let L be a closed convex subset of some proper cone in ℂ. The image of the space of analytic functionals Q'(L) with non-bounded carrier in L under the Taylor transformation as well as the representation of analytic functionals from Q'(L) as the boundary values of holomorphic functions outside L are given. Multipliers and operators in Q'(L) are described.
@article{bwmeta1.element.bwnjournal-article-smv108i2p159bwm,
author = {Grzegorz \L ysik},
title = {The Taylor transformation of analytic functionals with non-bounded carrier},
journal = {Studia Mathematica},
volume = {108},
year = {1994},
pages = {159-176},
zbl = {0822.46049},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv108i2p159bwm}
}
Łysik, Grzegorz. The Taylor transformation of analytic functionals with non-bounded carrier. Studia Mathematica, Tome 108 (1994) pp. 159-176. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv108i2p159bwm/
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