Hirschman, I. I. jun. On a formula of Kac and Achiezer. II. (English) Zbl 0211.41804 Arch. Ration. Mech. Anal. 38, 189-223 (1970). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 Documents MSC: 44A99 Integral transforms, operational calculus 28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence Citations:Zbl 0154.37203 PDFBibTeX XMLCite \textit{I. I. Hirschman jun.}, Arch. Ration. Mech. Anal. 38, 189--223 (1970; Zbl 0211.41804) Full Text: DOI References: [1] Achiezer, N. I., The continuous analogue of some theorems on Toeplitz matrices. Ukrainian Math. J. 16, 445–462 (1964) (Russian). · Zbl 0154.37202 [2] Baxter, Glen, Polynomials defined by a difference system. J. Math. Anal. and Appl. 2, 223–263 (1961). · Zbl 0116.35704 [3] Baxter, Glen, A norm inequality for a ”finite section” Wiener-Hopf equation. Illinois J. Math. 7, 97–103 (1963). · Zbl 0113.09101 [4] Baxter, Glen, & P. Schmidt, Determinants of a certain class of non-Hermitian Toeplitz matrices. Math. Scandinavica 9, 122–128 (1961). · Zbl 0119.28603 [5] Baxter, Glen, & I. I. Hirschman, Jr., An explicit inversion formula for finite section Wiener-Hopf operators. Bull. Amer. Math. Soc. 70, 820–823 (1964). · Zbl 0204.15904 [6] Devinatz, A., On Wiener-Hopf Operators. Functional Analysis. Proceedings of a conference held at the University of California, Irvine, 81–118 (1967). [7] Fredholm, I., Sur une classe d’équations fonctionelles. Acta Math. 27, 365–390 (1903). · JFM 34.0422.02 [8] Hartwig, R. E., & M. E. Fisher, Asymptotic behaviour of Toeplitz matrices and determinants. Arch. Rational Mech. Anal. 32, 190–225 (1969). · Zbl 0169.04403 [9] Hirschman, I. I., Szegö polynomials on a compact group with ordered dual. Canadian Math. J. 18, 538–560 (1966). · Zbl 0154.39201 [10] Hirschman, I. I., Szegö functions on a locally compact group with ordered dual. Trans. Amer. Math. Soc. 121, 133–159 (1966). · Zbl 0161.34001 [11] Hirschman, I. I., On a formula of Kac and Achiezer. J. Math. and Mech. 16, 167–196 (1966). · Zbl 0154.37203 [12] Hirschman, I. I., On Szegö Functions. Orthogonal Expansions and Their Continuous Analogues, edited by D. T. Haimo, Southern Illinois University Press, 1968. · Zbl 0159.18802 [13] Hirschman, I. I., Recent developments in the theory of finite Toeplitz operators, to appear. · Zbl 0301.47030 [14] Kac, M., Toeplitz matrices, translation kernels, and a related problem in probability theory. Duke Math. J. 21, 501–509 (1954). · Zbl 0056.10201 [15] Smithies, F., Integral Equations. Cambridge Tracts in Math. and Math. Physics, No. 49, Cambridge Univ. Press, 1965. · Zbl 0082.31901 [16] Szegö, G., On certain Hermitian forms associated with the Fourier series of a positive function. Commun. du seminaire math. de l’Univ. de Lund, tome supp., 228–237 (1952). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.