caa a22 4500 475839013 CHVBK 20180406123856.0 cr unu---uuuuu 170329e20000501xx s 000 0 eng 10.1023/A:1006492307508 doi (NATIONALLICENCE)springer-10.1023/A:1006492307508 On a Characterization of Integrability for the Reciprocal Weight of Orthogonal Polynomials on the Circle [Elektronische Daten] [A. Aptekarev, E. Berriochoa, A. Cachafeiro] We prove a necessary and sufficient condition for integrability of the reciprocal weight function of orthogonal polynomials. The condition is given in terms of the asymptotic behaviour of the norm of extremal polynomials with prescribed coefficients. Kluwer Academic Publishers, 2000 orthogonal polynomials nationallicence extremal problems nationallicence Szegő"s theory nationallicence Aptekarev A. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Russia. e-mail aut Berriochoa E. Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Vigo, Orense, Spain. e-mail aut Cachafeiro A. Departamento de Matemática Aplicada, ETS Ingenieros Industriales, Universidad de Vigo, 36280, Vigo, Spain. e-mail aut Acta Applicandae Mathematica Kluwer Academic Publishers 61/1-3(2000-05-01), 81-86 0167-8019 61:1-3<81 2000 61 10440 https://doi.org/10.1023/A:1006492307508 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1006492307508 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Aptekarev A. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Russia. e-mail aut NATIONALLICENCE 700 1- Berriochoa E. Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Vigo, Orense, Spain. e-mail aut NATIONALLICENCE 700 1- Cachafeiro A. Departamento de Matemática Aplicada, ETS Ingenieros Industriales, Universidad de Vigo, 36280, Vigo, Spain. e-mail aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers 61/1-3(2000-05-01), 81-86 0167-8019 61:1-3<81 2000 61 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer