English
Herglotz-Nevanlinna functions: realizations and generalizations
Multi angle
Auteurs : Luger, Annemarie (Auteur de la Conférence)
CIRM (Editeur )
30E20 - Integration, integrals of Cauchy type, integral representations of analytic functions, See also {45Exx}
33E20 - Other functions defined by series and integrals
47B15 - Hermitian and normal operators (spectral measures, functional calculus, etc.)
CIRM (Editeur )
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Résumé :
In this survey talk we are first going to recall several equivalent (but partly still quite different) ways to characterize the class of Herglotz-Nevanlinna functions, and discuss the corresponding representations and tools. Based on this point of view there are different ways to extend the class of Herglotz-Nevanlinna functions by generalizing the defining properties. In this talk we are going to discuss few of them, with special focus on wether classical tools are still available or where they can fail.
Keywords : Herglotz-Nevanlinna functions; integral representation; generalized Nevanlinna functions
Codes MSC : Keywords : Herglotz-Nevanlinna functions; integral representation; generalized Nevanlinna functions
30E20 - Integration, integrals of Cauchy type, integral representations of analytic functions, See also {45Exx}
33E20 - Other functions defined by series and integrals
47B15 - Hermitian and normal operators (spectral measures, functional calculus, etc.)
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 20/06/2022 Date de captation : 23/05/2022 Sous collection : Research talks arXiv category : Complex Variables ; Functional Analysis Domaine : Analysis and its Applications Format : MP4 (.mp4) - HD Durée : 00:55:56 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-05-23_Luger.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Herglotz-Nevanlinna Functions and their Applications to Dispersive Systems and Composite Materials / Fonctions de Herglotz-Nevanlinna et leurs applications aux systèmes dispersifs et aux matériaux compositesOrganisateurs de la rencontre : Bonnet-Ben Dhia, Anne-Sophie ; Cassier, Maxence ; Gralak, Boris ; Luger, Annemarie ; Milton, Graeme Dates : 23/05/2022 - 27/05/2022 Année de la rencontre : 2022 URL Congrès : https://conferences.cirm-math.fr/2225.html
Données de citation
DOI : 10.24350/CIRM.V.19920203Citer cette vidéo: Luger, Annemarie (2022). Herglotz-Nevanlinna functions: realizations and generalizations. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19920203 URI : http://dx.doi.org/10.24350/CIRM.V.19920203 |
Voir aussi
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- [Multi angle] Long time behaviour of the solution of Maxwell's equations in dissipative Lorentz media / Auteur de la Conférence Joly, Patrick.
- [Multi angle] Bandwidth bounds based on Herglotz-Nevanlinna functions and optimization / Auteur de la Conférence Gustafsson, Mats.
- [Multi angle] Expansion(s) of electromagnetic fields on Dispersive Quasi-Normal Modes / Auteur de la Conférence Demesy, Guillaume.
- [Multi angle] From Herglotz-Nevanlinna functions to completely monotonic functions / Auteur de la Conférence Berg, Christian.
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