Title	Reproducing kernel spaces and the Bargmann-Schiffer lemma
Creator	Alpay, Daniel
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-10-07T11:12
Description	We give a survey of the theory of reproducing kernel spaces of the kind defined by de Branges and Rovnyak and how they can be used to study Nevanlinna functions. In particular we give a proof of the Bargmann-Schiffer lemma. The advantages of the approach are that one can consider the matrix-valued case and also the case of generalized Nevanlinna functions, i.e. when the underlying kernel has a finite number of negative squares. We will also present a unified setting, which contains in particular the case of Schur functions and Nevanlinna functions in a unified framework.
Extent	33.0 minutes
Subject	Mathematics; Mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Chapman University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-04-05
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0389736
URI	http://hdl.handle.net/2429/73907
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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