BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Rational density on compact real manifolds Gupta, Purvi


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.

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