Back to Search
Start Over
Nikishin systems are perfect. Case of unbounded and touching supports
- Publication Year :
- 2010
-
Abstract
- K. Mahler introduced the concept of perfect systems in the theory of simultaneous Hermite-Pad\'{e} approximation of analytic functions. Recently, we proved that Nikishin systems, generated by measures with bounded support and non-intersecting consecutive supports contained on the real line, are perfect. Here, we prove that they are also perfect when the supports of the generating measures are unbounded or touch at one point. As an application, we give a version of Stieltjes' theorem in the context of simultaneous Hermite-Pad\'e approximation.<br />Comment: 26 pages
- Subjects :
- Mathematics - Complex Variables
Mathematics - Classical Analysis and ODEs
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1009.1922
- Document Type :
- Working Paper