Abstract

Nikishin type systems of meromorphic functions whose poles lie symmetrically with respect to the real axis are considered. For such systems, it is shown that the main diagonal of the associated Hermite-Pade approximants converges and the poles are located by the zeros of the corresponding denominators. An interesting feature is that multipoint Pade approximation plays a key role in the proof.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.