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SUMMARY:On the Fourier-Laplace transform of functionals on a space of ult
radifferentiable functions on a convex compact
DTSTART;VALUE=DATE-TIME:20210704T092500Z
DTEND;VALUE=DATE-TIME:20210704T095500Z
DTSTAMP;VALUE=DATE-TIME:20241106T072617Z
UID:indico-contribution-217@indico.eimi.ru
DESCRIPTION:Speakers: Il'dar Musin (Institute of Mathematics with Computer
Centre of Ufa Scientific Centre of RAS)\nClasses of ultradifferentiable f
unctions are classically defined by imposing growth conditions on the deri
vatives of the functions. Following this approach we consider a Fr\\'echet
-Schwartz space of infinitely differentiable functions on a closure of a b
ounded convex domain of multidimensional real space with uniform bounds on
their partial derivatives. The main aim is to obtain Paley-Wiener-Schwart
z type theorem connecting properties of linear continuous functionals on t
his space with the behaviour of their Fourier-Laplace transforms. Very sim
ilar problems were considered by M. Neymark\, B.A. Taylor\, M. Langenbruch
\, A.V. Abanin. Also some applications of this theorem to PDE and their sy
stems will be given.\n\nhttps://indico.eimi.ru/event/321/contributions/217
/
LOCATION:
URL:https://indico.eimi.ru/event/321/contributions/217/
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