Solution of the polynomial moment problem

التفاصيل البيبلوغرافية
العنوان: Solution of the polynomial moment problem
المؤلفون: Pakovich, F., Muzychuk, M.
سنة النشر: 2007
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Complex Variables, Mathematics - Algebraic Geometry, Mathematics - Dynamical Systems, Mathematics - Group Theory, 30E99, 34C99, 20C05, 12F10
الوصف: In this paper we give a complete solution of the following "polynomial moment problem" which arose about 10 years ago in connection with Poincare's center-focus problem. For a given polynomial P(z) to describe polynomials Q(z) orthogonal to all powers of P(z) on a segment [a,b].
Comment: The final version accepted by Proc. Lond. Math. Soc. In contrast with the first version the exposition is self-contained and concentrated on the case when both P,Q are polynomials
نوع الوثيقة: Working Paper
DOI: 10.1112/plms/pdp010
URL الوصول: http://arxiv.org/abs/0710.4085
رقم الأكسشن: edsarx.0710.4085
قاعدة البيانات: arXiv