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Landau, H. J.

On Szegö’s eigenvalue distribution theorem and non-Hermitian kernels. (English) Zbl 0321.45005

J. Anal. Math. 28, 335-357 (1975).
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Cited in 56 Documents

MSC:

45C05 Eigenvalue problems for integral equations
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References:

[1] Kac, M.; Murdock, W.; Szegö, G., On the eigenvalues of certain Hermitian forms, J. Rat. Mech. Analysis, 2, 767-800 (1953) · Zbl 0051.30302
[2] Evgrafov, M. A., On an integral transformation and its application to estimating the number of characteristic values of certain integral operators (Russian), Trudy Moskov. Mat. Obsc., 17, 273-292 (1967) · Zbl 0177.39702
[3] Landau, H. J.; Pollak, H. O., Prolate spheroidal wave functions, Fourier analysis and uncertainty-II, Bell System Tech., 40, 65-84 (1961) · Zbl 0184.08602
[4] Landau, H. J., Necessary conditions for sampling and interpolation of certain entire functions, Acta Math., 117, 37-52 (1967) · Zbl 0154.15301 · doi:10.1007/BF02395039
[5] Riesz, F.; Sz.-Nagy, B., Functional Analysis (1955), New York: Ungar, New York
[6] I. I. Hirschman, Jr.,Recent developments in the theory of finite Toeplitz operators, inAdvances in Probability and Related Topics, I, P. Ney. ed., pp. 105-167.
[7] Schmidt, P.; Spitzer, F., The Toeplitz matrices of an arbitrary Laurent polynomial, Math. Scand., 8, 15-38 (1960) · Zbl 0101.09203
[8] Hirshman, I. I., The spectra of certain Toeplitz matrices, Illinois J. Math., 11, 145-159 (1967) · Zbl 0144.38501
[9] Ullman, J. L., Toeplitz matrices associated with semi-infinite Laurent series, Proc. London Math. Soc., 22, 164-192 (1971) · Zbl 0208.16602 · doi:10.1112/plms/s3-22.1.164
[10] Krein, M. G., Integral equations on a half-line whose kernel depends on the difference of its arguments, Uspehi Mat. Nauk (N.S.), 13, 1-120 (1958) · Zbl 0088.30903
[11] Calderon, A.; Spitzer, F.; Widom, H., The inversion of Toeplitz matrices, Illinois J. Math., 3, 490-498 (1959) · Zbl 0091.11101
[12] Day, K. M., Toeplitz matrices generated by the Laurent series expansion of an arbitrary rational function, Trans. Amer. Math. Soc., 206, 224-245 (1975) · Zbl 0324.47016 · doi:10.2307/1997155
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