Defines Bernstein-Szegő measures on R², derives new finite-moment characterization conditions, and constructs orthonormal bases via an extended Szegő mapping from bivariate Fejér-Riesz factorization.
Riesz, ¨Uber ein Problem des Herrn Carath´ eodory , J
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Bernstein-Szeg\H{o} measures in the plane
Defines Bernstein-Szegő measures on R², derives new finite-moment characterization conditions, and constructs orthonormal bases via an extended Szegő mapping from bivariate Fejér-Riesz factorization.