में बचाया:
| मुख्य लेखकों: | , |
|---|---|
| स्वरूप: | Preprint |
| प्रकाशित: |
2025
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| विषय: | |
| ऑनलाइन पहुंच: | https://arxiv.org/abs/2508.04908 |
| टैग: |
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विषय - सूची:
- In this paper, we are interested in matrix valued orthogonal polynomials on the real line with respect to exponential weights. We obtain strong asymptotics as the degree tends to infinity in different regions of the complex plane, as well as asymptotic behavior of recurrence coefficients and norms. The main tools are the Riemann-Hilbert formulation and the Deift-Zhou method of steepest descent, adapted to the matrix case. A central role is played by the matrix Szegő function, an object that has independent interest.