Quadrature domains and kernel function zipping

Details Quadrature domains and kernel function zipping Quadrature domains and kernel function zipping

2004-01-20

arxiv.org/abs/math/0401264v1

Mathematics

Complex Variables

13 pages, to appear in Arkiv for matematik

Scientific paper

10.1007/BF02384780

It is proved that quadrature domains are ubiquitous in a very strong sense in the realm of smoothly bounded multiply connected domains in the plane. In fact, they are so dense that one might as well assume that any given smooth domain one is dealing with is a quadrature domain, and this allows access to a host of strong conditions on the classical kernel functions associated to the domain. Following this string of ideas leads to the discovery that the Bergman kernel can be zipped down to a strikingly small data set. It is also proved that the kernel functions associated to a quadrature domain must be algebraic.

Affiliated with

Also associated with

No associations

Rating

Quadrature domains and kernel function zipping does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quadrature domains and kernel function zipping, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quadrature domains and kernel function zipping will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-641669