Rational density on compact real manifolds
Purvi Gupta · arXiv (Cornell University) · 2017
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.