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Clark measures for rational inner functions

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Multi angle
Authors : Sola, Alan (Author of the conference)
CIRM (Publisher )

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Abstract : Reporting on joint work with K. Bickel and J. Cima, I will present a detailed analysis of Clark measures and Clark isometries associated with rational inner functions on the bidisk. I will also indicate some applications to the study of extreme points of the set of positive pluriharmonic measures in two dimensions.

Keywords : Clark measure; rational inner function; Clark isometry

MSC Codes :
28A25 - Integration with respect to measures and other set functions
28A35 - Measures and integrals in product spaces
47A55 - Perturbation theory

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 03/01/2022
    Conference Date : 02/12/2021
    Subseries : Research talks
    arXiv category : Functional Analysis ; Complex Variables
    Mathematical Area(s) : Analysis and its Applications
    Format : MP4 (.mp4) - HD
    Video Time : 00:56:58
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2021-11-30_Sola.mp4

Information on the Event

Event Title : Frontiers of Operator Theory / Frontières de la théorie des opérateurs
Event Organizers : Badea, Catalin ; Bayart, Frédéric ; Gallardo-Gutiérrez, Eva A. ; Grivaux, Sophie ; Lefèvre, Pascal
Dates : 29/11/2021 - 03/12/2021
Event Year : 2021
Event URL : https://conferences.cirm-math.fr/2388.html

Citation Data

DOI : 10.24350/CIRM.V.19856003
Cite this video as: Sola, Alan (2021). Clark measures for rational inner functions. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19856003
URI : http://dx.doi.org/10.24350/CIRM.V.19856003

See Also

Bibliography

  • BICKEL, Kelly, CIMA, Joseph A., et SOLA, Alan A. Clark Measures for Rational Inner Functions. arXiv preprint arXiv:2101.00508, 2021. - https://arxiv.org/abs/2101.00508



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