BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//wp-events-plugin.com//7.2.3.1//EN
TZID:Europe/Paris
X-WR-TIMEZONE:Europe/Paris
BEGIN:VEVENT
UID:5847@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris;VALUE=DATE:20221205
DTEND;TZID=Europe/Paris;VALUE=DATE:20221206
DTSTAMP:20241120T200233Z
URL:https://www.i2m.univ-amu.fr/evenements/journee-danalyse-harmonique-202
 2/
SUMMARY:Journée (CMI\, Château-Gombert\, Marseille): Journée d'Analyse H
 armonique 2022
DESCRIPTION:Journée: \n\nJournée d'Analyse Harmonique 2022\n\n\nMarseille
  - Lundi 5 décembre 2022\n\nSalle de séminaire du CMI (plan d'accès)\n\
 nOrganisateurs: A. Borichev\, S. Charpentier\, H. Youssfi\, R. Zarouf\n-- 
 10h-11h - John McCarthy\, St Louis et Paris (website)\n\nThe Hardy-Weyl al
 gebra and Monomial Operators \nRésumé: The Weyl algebra is the algebra g
 enerated by the operators of differentiation and multiplication by x. It i
 s much studied in algebra and analysis. What happens if you replace the un
 bounded differentiation operator by a bounded integral operator\, like the
  Volterra operator V or the Hardy operator H\, where V and H are operators
  on L2[0\,1] given by\n \nWe shall discuss the algebra generated by multip
 lication by x and H\, which we call the Hardy-Weyl algebra. We shall also 
 discuss other operators T on L2[0\,1] that have the property that they tak
 e monomials to multiples of other monomials\, i.e. Txn = cnxpn.\nThis is j
 oint work with Jim Agler.\n-- 11h15-12h15  - Nikolaos Chalmoukis\, Sarrebr
 uck (website)\n\nThe exceptional sets of the Drury Arveson space \nRésum
 é: A classical theorem of Fatou [1] says that a function in the Hardy spa
 ce of the disc has non tangential limits at almost every boundary point. C
 onversely for every compact set of Lebesgue measure zero in the boundary o
 f the unit disc there exists a function in the Hardy space which fails to 
 have non tangential limits exactly on this set. So we say that the excepti
 onal sets are exactly the sets of Lebesgue measure zero.\nIn the unit ball
  of C^n there are two (different) spaces which play the role of the Hardy 
 space in the unit disc. One is the Hardy space of the ball and the other o
 ne is the Drury Arveson space. For the first one\, exceptional sets in the
  sense of Fatou have been characterized by Korányi [2].\nIn this talk we 
 will give a characterization of the exceptional sets of the Drury Arveson 
 space by introducing a new potential theory on the boundary of the unit ba
 ll in C^n or equivalently in the Heisenberg group.\n[1] P. Fatou\, (1906) 
 Séries trigonométriques et séries de Taylor\, Acta Mathematica\, Acta M
 ath. 30\, 335–400.\n[2] A. Korányi\, (1969). Harmonic Functions on Herm
 itian Hyperbolic Space. Transactions of the American Mathematical Society\
 , 135\, 507–516.\n12h40 - 14h20 -- Déjeuner\n-- 14h30-15h30  - Myrto Ma
 nolaki\, Dublin (website)\n\nA strong form of Plessner's theorem and appli
 cations \nRésumé: Let f be a holomorphic function on the unit disc. Acco
 rding to Plessner's theorem\, for almost every point z on the unit circle\
 , either (i) f has a finite nontangential limit at z\, or (ii) the image f
 (S) of any Stolz angle S at z is dense in the complex plane. In this talk\
 , we will see that condition (ii) can be replaced by a much stronger asser
 tion. It turns out that this strong form of Plessner's theorem and its har
 monic analogue on halfspaces improve classical results of Spencer\, Stein 
 and Carleson. Moreover\, after a brief overview of the theory of universal
  Taylor series\, we will see how our main theorem strengthens a result abo
 ut their boundary behaviour. (Joint work with Stephen Gardiner)\n-- 15h45-
 16h45  - Konstantinos Maronikolakis\, Dublin (researchgate)\nProperties of
  Abel Universal Functions \nRésumé: In 2020\, S. Charpentier showed that
 \, for every sequence ρ = (ρn)n in [0\, 1) with ρn → 1 as n →∞\, 
 there exist holomorphic functions f in the unit disk such that\, for any p
 roper compact subset K of the unit circle and any continuous function h on
  K\, there exists a subsequence (ρλn)n of ρ such that |f(ρλnζ) -ϕ(
 ζ)|→ 0 as n →∞ uniformly for ζ ∈ K. We call these functions Abel
  universal. I will discuss properties of Abel universal functions and in p
 articular their similarities and differences with the universal Taylor ser
 ies\, which are well studied in the field of universality. I will also pre
 sent analogues of Abel universal functions for the Hardy\, Bergman and Dir
 ichlet spaces.\n\n\n\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 022/12/image_journee-2022-Harmonic_Analysis-The_infinite_rooted_tree-fig.1
 -Arcozzi-Chalmoukis-Levi-Mozolyako.png
CATEGORIES:Séminaire,Analyse et Géométrie,Journée(s),Manifestation
 scientifique
LOCATION:I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage)\
 , 39 Rue Joliot Curie\, 13013 Marseille\, France\, Campus Château-Gombert
 \, 
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=39 Rue Joliot Curie\, 13013
  Marseille\, France\, Campus Château-Gombert\, ;X-APPLE-RADIUS=100;X-TITL
 E=I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage):geo:0,
 0
END:VEVENT
BEGIN:VTIMEZONE
TZID:Europe/Paris
X-LIC-LOCATION:Europe/Paris
BEGIN:STANDARD
DTSTART:20221030T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
TZNAME:CET
END:STANDARD
END:VTIMEZONE
END:VCALENDAR