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Hankel and composition operators on spaces of Dirichlet series

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Post-edited
Authors : Seip, Kristian (Author of the conference)
CIRM (Publisher )

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$H^p$ spaces of Dirichlet series interpolation in $H^2$ embedding inequalities multiplicative Hankel forms failure of Nehari's theorem multiplicative Hilbert matrix Gordon-Hedenmalm theorem approximation numbers for composition operators pullback measure for a composition operator composition operators with linear symbols transference principle for composition operators on $H^2$

Abstract : I will give a survey of the operator theory that is currently evolving on Hardy spaces of Dirichlet series. We will consider recent results about multiplicative Hankel operators as introduced and studied by Helson and developments building on the Gordon-Hedenmalm theorem on bounded composition operators on the $H^2$ space of Dirichlet series.

MSC Codes :
30B50 - Dirichlet series and other series expansions, exponential series
47B35 - Toeplitz operators, Hankel operators, Wiener-Hopf operators
30H10 - Hardy spaces

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 10/11/14
    Conference Date : 29/10/14
    Subseries : Research talks
    arXiv category : Functional Analysis
    Mathematical Area(s) : Analysis and its Applications
    Format : QuickTime (.mov) Video Time : 01:00:10
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2014-10-29_Seip.mp4

Information on the Event

Event Title : Jean-Morlet Chair : Function spaces and harmonic analysis / Chaire Jean-Morlet : Espaces fonctionnels et analyse harmonique
Event Organizers : Feichtinger, Hans G. ; Borichev, Alexander A. ; Charpentier, Stéphane ; Youssfi, El Hassan ; Zarouf, Rachid
Dates : 27/10/14 - 31/10/14
Event Year : 2014
Event URL : https://www.chairejeanmorlet.com/1251.html

Citation Data

DOI : 10.24350/CIRM.V.18623703
Cite this video as: Seip, Kristian (2014). Hankel and composition operators on spaces of Dirichlet series. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18623703
URI : http://dx.doi.org/10.24350/CIRM.V.18623703

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