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arXiv · 2501.12530

Ambarzumian-type mixed inverse spectral problems for Jacobi matrices

Ethan Luo·Steven Ning·Tarun Rapaka·Xuxuan Joyce Zheng
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Abstract

We investigate Ambarzumian-type mixed inverse spectral problems for Jacobi matrices. Specifically, we examine whether the Jacobi matrix can be uniquely determined by knowing all but the first $m$ diagonal entries and a set of $m$ ordered eigenvalues.

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Ethan Luo, Steven Ning, Tarun Rapaka, Xuxuan Joyce Zheng. 2025-01-21. Ambarzumian-type mixed inverse spectral problems for Jacobi matrices. https://arxiv.org/abs/2501.12530

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