Ge´za Freud, orthogonal polynomials and Christoffel functions. A case study
Journal of Approximation Theory
Survey of the proof of the Tate conjectues for Hilbert-Blumenthal surfaces
Progress in mathematics; Vol. 71 on Seminaire de theorie des monbres, Paris 1985-86
A shortcut to asymptotics for orthogonal polynomials
ICCAM'92 Proceedings of the fifth international conference on Computational and applied mathematics
Perturbation of orthogonal polynomials on an arc of the unit circle
Journal of Approximation Theory
An alternative proof of a theorem of Stieltjes and related results
Proceedings of the international conference (dedicated to Thomas Jan Stieltjes, Jr.) on Orthogonality, moment problems and continued fractions
Hilbert
Orthogonal matrix polynomials: zeros and Blumenthal's theorem
Journal of Approximation Theory
Perturbation of orthogonal polynomials on an arc of the unit circle, II
Journal of Approximation Theory
Finding a measure of orthogonality
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Blumenthal's theorem for Laurent orgthogonal polynomials
Journal of Approximation Theory
Denisov's theorem on recurrence coefficients
Journal of Approximation Theory
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This paper treats in detail the life and work of Otto Blumenthal, one of the most tragic figures of the 188 emigre mathematicians from Germany and the Nazi-occupied continent. Blumenthal, the first doctoral student of David Hilbert, was crucial in the publication and communication system of German mathematics between the two World Wars. There has been an unusual revival of interest in his mathematical work in the last three decades. Thus his work on orthogonal polynomials whose zeros are dense in intervals, called the Blumenthal theorem by T.S. Chihara (1972), lead to over two dozen recent papers in the field. The Blumenthal-Nevai theorem, with applications to scattering theory in physics, is one example. In modern work on Hilbert modular forms, increasingly being called Hilbert-Blumenthal modular forms, many recent papers even contain the word Blumenthal in their titles. This paper contains 212 references.