Khrushchev, SMathematics2024-07-052024-07-0520060021-90451096-043010.1016/j.jat.2005.10.0022-s2.0-33645890849https://doi.org/10.1016/j.jat.2005.10.002https://hdl.handle.net/20.500.14411/1205Khrushchev, Sergey/0000-0002-8854-5317In this paper the ideas of Algebraic Number Theory are applied to the Theory of Orthogonal polynomials for algebraic measures. The transferring tool are Wall continued fractions. It is shown that any set of closed arcs on the circle supports a quadratic measure and that any algebraic measure is either a Szego measure or a measure supported by a proper subset of the unit circle consisting of a finite number of closed arcs. Singular parts of algebraic measures are finite sums of point masses. (C) 2005 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessalgebraic measuresWall continued fractionsexposed pointsArticleQ21391-2402429WOS:0002372424000195