Szego coordinates, quadrature domains, and double quadrature domains

Details Szego coordinates, quadrature domains, and double quadrature domains Szego coordinates, quadrature domains, and double quadrature domains

2010-03-10

arxiv.org/abs/1003.2195v1

Mathematics

Complex Variables

19 pages

Scientific paper

We define Szego coordinates on a finitely connected smoothly bounded planar domain which effect a holomorphic change of coordinates on the domain that can be as close to the identity as desired and which convert the domain to a quadrature domain with respect to boundary arc length. When these Szego coordinates coincide with Bergman coordinates, the result is a double quadrature domain with respect to both area and arc length. We enumerate a host of interesting and useful properties that such double quadrature domains possess, and we show that such domains are in fact dense in the realm of bounded finitely connected domains with smooth boundaries.

Affiliated with

Also associated with

No associations

Rating

Szego coordinates, quadrature domains, and double quadrature domains 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 Szego coordinates, quadrature domains, and double quadrature domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Szego coordinates, quadrature domains, and double quadrature domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-539327