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arXiv · 2312.01323

Sum rules and Simon spectral gem problem on higher order Szeg\H{o} theorems

Zhihua Du
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Abstract

In this work, we give a formula for coefficients of orthogonal polynomials on the unit circle. By using this formula, a new and computable approach is provided for sum rules which applying to a spectral gem problem proposed by Barry Simon on higher order Szeg\H{o} theorems.

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Zhihua Du. 2023-12-03. Sum rules and Simon spectral gem problem on higher order Szeg\H{o} theorems. https://arxiv.org/abs/2312.01323

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