Projective representations of spaces of quasianalytic functionals
José Bonet ; Reinhold Meise ; Sergeĭ N. Melikhov
Studia Mathematica, Tome 162 (2004), p. 91-102 / Harvested from The Polish Digital Mathematics Library
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The weighted inductive limit of Fréchet spaces of entire functions in N variables which is obtained as the Fourier-Laplace transform of the space of analytic functionals on an open convex subset of ℝN can be described algebraically as the intersection of a family of weighted Banach spaces of entire functions. The corresponding result for the spaces of quasianalytic functionals is also derived.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:285296 
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José Bonet; Reinhold Meise; Sergeĭ N. Melikhov. Projective representations of spaces of quasianalytic functionals. Studia Mathematica, Tome 162 (2004) pp. 91-102. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm164-1-6/