On New Relations Between Spectral Properties of Jacobi Matrices and Their Coefficients
By Ari Laptev, Serguei Naboko, Oleg Safronov. 2003
48 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/7ad2a18e76d6f27d5fac27e8182bfa4c31744816
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In Computational Theory and Mathematics
In Mathematical Physics
Citations in the corpus
- Jost functions and Jost solutions for Jacobi matrices, I. A necessary and sufficient condition for Szegő asymptotics (2005, unknown): “Further developments of sum rules include [25, 26, 27, 29, 43, 44].”
- Orthogonal polynomials on the unit circle: New results (2004, unknown): “10), we were motivated in part by attempts of Kupin [75, 76] and Laptev, Naboko, and Safronov [78] to extend the OPUC”
- Coefficients of Orthogonal Polynomials on the Unit Circle and Higher-Order Szego Theorems (2005, background): “The fact that log(D(z)/D(0)) = ∑ m≥1wmz m satisfies the proposition shows that when gm is the first non-zero coefficient with m ≥ 2, then hm does not satisfy the required condition because hm = g1wm + gmw m 1 .”