Abstract
In this paper we obtain a refinement of Szegö's well-known theorem on the asymptotics of the eigenvalues of Toeplitz forms.
Similar content being viewed by others
Literature cited
O. Toeplitz, “Theorie der L-Formen,” Math. Ann.,70, 351–376 (1911).
U. Grenander and G. Szegö, Toeplitz Forms and Their Applications, University of California Press, Berkeley and Los Angeles (1958).
M. Kac, “Toeplitz matrices, translation kernels, and a related problem in probability theory,” Duke Math. J.,21, 501–509 (1954).
G. Szegö, “On certain hermitian forms associated with the Fourier series of a positive function,” Communications du Seminaire mathématique de l'université de Lund, tome supplémentaire dédie a′ Marcel Riesz (1952), pp. 228–238.
I. A. Ibragimov, “On a theorem of G. Szegö,” Matem. Zametki,3, No. 6, 693–702 (1968).
Additional information
Translated from Matematicheskie Zametki, Vol. 11, No. 2, pp. 151–158, February, 1972.
Rights and permissions
About this article
Cite this article
Libkind, L.M. Asymptotics of the eigenvalues of Toeplitz forms. Mathematical Notes of the Academy of Sciences of the USSR 11, 97–101 (1972). https://doi.org/10.1007/BF01097924
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01097924