Title	Rational density on compact real manifolds
Creator	Gupta, Purvi
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-05-03T15:59
Description	Motivated by the observation that every continuous complex-valued function on the unit circle can be approximated by rational combinations of a single function, we will discuss some conditions under which a manifold \(M\) admits \(N\) functions whose rational combinations are dense in the space of complex-valued \(C^k\)-functions on M. As a result, we will produce an optimal bound on \(N\) in terms of the dimension of M. This is joint work with R. Shafikov.
Extent	50 minutes
Subject	Mathematics; Several complex variables and analytic spaces; Potential theory; Global analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Western Ontario
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-02-08
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0320859
URI	http://hdl.handle.net/2429/59622
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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