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VIDEO LIBRARY |
Spectral theory, nonlinear problems, and applications
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Szegő asymptotics for multiple orthogonal polynomials with respect to Angelesco weights A. I. Aptekarev |
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Abstract: The system of Angelesco weights: $\{\rho_j(x), \, x\in \Delta_j \subset \mathbb{R}\}_{j=1}^d$, where segments $$ \int Q_{\vec{n}}(x)\,x^k\, \rho_j(x)\,dx=0 ,\qquad k=1,...,n_j,\quad j=1,...,d,$$ where In the talk, we start with Widom's approach to strong (or Szegő type) asymptotics for OPs, then discuss an adaptation of this approach for MOPs with respect to Angelesco system: a known partial result when |