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JOURNALS
// Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya
// Archive
Izv. Akad. Nauk SSSR Ser. Mat.,
1973
Volume 37,
Issue 5,
Pages
1186–1199
(Mi im2357)
G. Szegö's limit relation and properties of the corresponding orthogonal polynomials
Ya. L. Geronimus
Abstract:
We establish the validity of Szegö's limit theorem under the least restrictive hypotheses on the parameters of the system of orthogonal polynomials, and discuss some of the properties of the polynomials under these hypotheses.
UDC:
517.5
MSC:
42A52
,
30A82
,
41A10
,
41A50
Received:
27.11.1972
Fulltext:
PDF file (1038 kB)
References
English version:
Mathematics of the USSR-Izvestiya, 1973,
7
:5,
1185–1198
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2024