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arXiv · 0711.2734

Free Martingale polynomials for stationary Jacobi processes

Nizar Demni
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Abstract

We generalize a previous result concerning free martingale polynomials for the stationary free Jacobi process of parameters $λ\in ]0.1], θ= 1/2$. Hopelessly, apart from the case $λ= 1$, the polynomials we derive are no longer orthogonal with respect to the spectral measure. As a matter of fact, we use the multiplicative renormalization to write down the corresponding orthogonality measure.

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Nizar Demni. 2007-11-17. Free Martingale polynomials for stationary Jacobi processes. https://arxiv.org/abs/0711.2734

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