Nikishin systems are perfect

Details Nikishin systems are perfect Nikishin systems are perfect

2010-01-04

arxiv.org/abs/1001.0554v1

Mathematics

Complex Variables

39 pages

Scientific paper

K. Mahler introduced the concept of perfect systems in the general theory he developed for the simultaneous Hermite-Pade approximation of analytic functions. We prove that Nikishin systems are perfect providing, by far, the largest class of systems of functions for which this important property holds. As consequences, in the context of Nikishin systems, we obtain: an extension of Markov's theorem to simultaneous Hermite-Pade approximation, a general result on the convergence of simultaneous quadrature rules of Gauss-Jacobi type, the logarithmic asymptotics of general sequences of multiple orthogonal polynomials, and an extension of the Denisov-Rakhmanov theorem for the ratio asymptotics of mixed type multiple orthogonal polynomials.

Affiliated with

Also associated with

No associations

Rating

Nikishin systems are perfect 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 Nikishin systems are perfect, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nikishin systems are perfect will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-7582