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On partial indices for a matrix Riemann-Hilbert problem

✍ Scribed by C. Cercignani; C. E. Siewert


Publisher
Springer
Year
1994
Tongue
English
Weight
135 KB
Volume
33
Category
Article
ISSN
0044-2275

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We find a local (d + 1) Γ— (d + 1) Riemann-Hilbert problem characterizing the skew-orthogonal polynomials associated to the partition function of orthogonal ensembles of random matrices with a potential function of degree d. Our Riemann-Hilbert problem is similar to a local d Γ— d Riemann-Hilbert prob

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## Abstract This paper concerns the existence of nontrivial solutions of the Riemann‐Hilbert problem with a continuous coefficient whose values belong to two rays in the complex plane. Our results extend those recently obtained by E. Shargorodsky and J. F. Toland [6]. (Β© 2004 WILEY‐VCH Verlag GmbH