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Herglotz-Nevanlinna functions: realizations and generalizations
Multi angle
Authors : Luger, Annemarie (Author of the conference)
CIRM (Publisher )
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 (Publisher )
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Abstract :
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
MSC Codes : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 20/06/2022 Conference Date : 23/05/2022 Subseries : Research talks arXiv category : Complex Variables ; Functional Analysis Mathematical Area(s) : Analysis and its Applications Format : MP4 (.mp4) - HD Video Time : 00:55:56 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-05-23_Luger.mp4 
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Information on the Event
Event Title : 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 compositesEvent Organizers : Bonnet-Ben Dhia, Anne-Sophie ; Cassier, Maxence ; Gralak, Boris ; Luger, Annemarie ; Milton, Graeme Dates : 23/05/2022 - 27/05/2022 Event Year : 2022 Event URL : https://conferences.cirm-math.fr/2225.html
Citation Data
DOI : 10.24350/CIRM.V.19920203Cite this video as: 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 |
See Also
- [Multi angle] What effective tensors, and effective tensor functions, can one obtain through lamination? / Author of the conference Milton, Graeme.
- [Virtualconference] On the response of lossy two-phase composites subject to time-varying fields / Author of the conference Mattei, Ornella.
- [Multi angle] Transparent boundary conditions for wave propagation in fractal trees / Author of the conference Kachanovska, Maryna.
- [Multi angle] Long time behaviour of the solution of Maxwell's equations in dissipative Lorentz media / Author of the conference Joly, Patrick.
- [Multi angle] Bandwidth bounds based on Herglotz-Nevanlinna functions and optimization / Author of the conference Gustafsson, Mats.
- [Multi angle] Expansion(s) of electromagnetic fields on Dispersive Quasi-Normal Modes / Author of the conference Demesy, Guillaume.
- [Multi angle] From Herglotz-Nevanlinna functions to completely monotonic functions / Author of the conference Berg, Christian.
Bibliography
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