Widom, Harold Asymptotic inversion of convolution operators. (English) Zbl 0298.44012 Publ. Math., Inst. Hautes Étud. Sci. 44, 191-240 (1974). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 9 Documents MSC: 44A35 Convolution as an integral transform 47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.) 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators PDFBibTeX XMLCite \textit{H. Widom}, Publ. Math., Inst. Hautes Étud. Sci. 44, 191--240 (1974; Zbl 0298.44012) Full Text: DOI Numdam EuDML References: [1] R. Arens andA. Calderón, Analytic functions of several Banach algebra elements,Ann. of Math.,62 (1955), 204–216. · Zbl 0065.34802 [2] G. Baxter, A norm inequality for a finite section Wiener-Hopf equation,Ill. J. Math.,7 (1963), 97–103. · Zbl 0113.09101 [3] T. Bonnesen u.W. Fenchel,Theorie der konvexen Körper, Berlin, Springer, 1934. · Zbl 0008.07708 [4] A. Devinatz, The strong Szegö limit theorem,Ill. J. Math.,11 (1967), 160–175. · Zbl 0166.40301 [5] I. C. Gohberg andM. G. Krein,Introduction to the theory of linear non-selfadjoint operators, Providence (Amer. Math. Soc.), 1969. · Zbl 0181.13503 [6] B. L. Golinskii andI. A. Ibragimov, On Szegö’s limit theorem,Math. U.S.S.R., Izvestija,5 (1971), 421–444. · Zbl 0249.42012 [7] R. E. Hartwig andM. E. Fisher, Asymptotic behavior of Toeplitz matrices and determinants,Arch. Rat. Mech. Anal.,32 (1969), 190–225. · Zbl 0169.04403 [8] I. I. Hirschman, Jr., On a theorem of Kac, Szegö, and Baxter,J. d’Anal. Math.,14 (1965), 225–234. · Zbl 0141.07001 [9] ——, On a formula of Kac and Achiezer II,Arch. Rat. Mech. Anal.,38 (1970), 189–223. · Zbl 0211.41804 [10] M. Kac, Toeplitz matrices, translation kernels, and a related problem in probability theory,Duke Math. J.,21 (1954), 501–509. · Zbl 0056.10201 [11] L. Mejlbo andP. Schmidt, On the eigenvalues of generalized Toeplitz matrices,Math. Scand.,10 (1962), 5–16. · Zbl 0117.32901 [12] L. Nirenberg, Pseudo-differential operators,Proc. Symp. Pure Math.,16, Amer. Math. Soc., Providence, 1970. · Zbl 0218.35075 [13] G. Szegö, On certain hermitian forms associated with the Fourier series of a positive function,Comm. séminaire math. Univ. Lund, tome supp. (1952), 228–237. [14] H. Widom, A theorem on translation kernels inn dimensions,Trans. Amer. Math. Soc.,94 (1960), 170–180. · Zbl 0093.11501 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.