The main object of this work is to describe such weight functions w(t) that for all elements the estimate is valid with a constant K(Ω), which does not depend on f and it grows to infinity when the domain Ω shrinks, i.e. deforms into a lower dimensional convex set . In one-dimensional case means that as σ → 0. It should be noted that in the framework of the signal transmission problem such estimates describe a signal’s behavior under the influence of detection and amplification. This work contains some results of the above-mentioned type which I presented at the Banach Centre in the Summer of 1994. Some of these results had been published earlier, some are new ones.
@article{bwmeta1.element.bwnjournal-article-bcpv37i1p331bwm,
author = {Paneah, Boris},
title = {Equivalent norms in some spaces of analytic functions and the uncertainty principle},
journal = {Banach Center Publications},
volume = {37},
year = {1996},
pages = {331-335},
zbl = {1037.46500},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv37i1p331bwm}
}
Paneah, Boris. Equivalent norms in some spaces of analytic functions and the uncertainty principle. Banach Center Publications, Tome 37 (1996) pp. 331-335. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv37i1p331bwm/