Abstract
We study the distribution of eigenvalues of varying Toeplitz and Hankel matrices such as \(\left [ a_{n+k-j}\right ] _{j,k}\) and \(\left [ a_{n+k+j} \right ] _{j,k}\) where a n behaves roughly like n β for some non- 0 complex number β, and n →∞. This complements earlier work on these matrices when the coefficients \(\left \{ a_{n}\right \} \) arise from entire functions.
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Research supported by NSF grant DMS1800251 and Georgia Tech Mathematics REU Program NSF Grant DMS181843.
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Kowalsky, G., Lubinsky, D.S. (2021). On Eigenvalue Distribution of Varying Hankel and Toeplitz Matrices with Entries of Power Growth or Decay. In: Fasshauer, G.E., Neamtu, M., Schumaker, L.L. (eds) Approximation Theory XVI. AT 2019. Springer Proceedings in Mathematics & Statistics, vol 336. Springer, Cham. https://doi.org/10.1007/978-3-030-57464-2_8
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