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UID:7380@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20180212T100000
DTEND;TZID=Europe/Paris:20180212T110000
DTSTAMP:20241120T203934Z
URL:https://www.i2m.univ-amu.fr/evenements/noyaux-reproduisants-polyanalyt
 iques/
SUMMARY:El-Hassan Youssfi (I2M\, Aix-Marseille Université): Noyaux reprodu
 isants polyanalytiques
DESCRIPTION:El-Hassan Youssfi: Let ν be a rotation invariant Borel probabi
 lity measure on the complex plane having moments of all orders. Given a po
 sitive integer q\, it is proved that the space of ν-square integrable q-a
 nalytic functions is the closure of q-analytic polynomials\, and in partic
 ular it is a Hilbert space. We establish a general formula for the corresp
 onding polyanalytic reproducing kernel. New examples are given and all kno
 wn examples\, including those of the analytic case are covered. In particu
 lar\, weighted Bergman and Fock type spaces of polyanalytic functions are 
 introduced. Our results have a higher dimensional generalization for measu
 re on C p which are in rotation invariant with respect to each coordinate.
 \nTHE POLYANALYTIC REPRODUCING KERNELS\n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Hassan_Youssfi.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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DTSTART:20171029T020000
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