Christoffel function on planar domains with piecewise smooth boundary
Abstract
We compute up to a constant factor the Christoffel function on planar domains with boundary consisting of finitely many $C^2$ curves such that each corner point of the boundary has interior angle strictly between $0$ and $\pi$. The resulting formula uses the distances from the point of interest to the curves or certain parts of the curves defining the boundary of the domain.
 Publication:

arXiv eprints
 Pub Date:
 September 2018
 arXiv:
 arXiv:1809.09205
 Bibcode:
 2018arXiv180909205P
 Keywords:

 Mathematics  Classical Analysis and ODEs;
 42C05;
 41A17;
 41A63;
 26D05;
 42B99