Boettcher, Albrecht; Silbermann, Bernd The asymptotic behavior of Toeplitz determinants for generating functions with zeros of integral orders. (English) Zbl 0479.47025 Math. Nachr. 102, 79-105 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 12 Documents MSC: 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators 15A15 Determinants, permanents, traces, other special matrix functions Keywords:Toeplitz operators; Toeplitz determinants; singular generating functions; asymptotic formulas; conjecture of Hartwig and Fisher PDF BibTeX XML Cite \textit{A. Boettcher} and \textit{B. Silbermann}, Math. Nachr. 102, 79--105 (1981; Zbl 0479.47025) Full Text: DOI References: [1] Basor, Trans. Amer. Math. Soc. 239 pp 33– (1978) [2] Fisher, Adv. Chem. Phys. 15 pp 333– (1968) [3] Matrizenrechnung I, Deutscher Verlag der Wissenschaften, Berlin 1958. [4] and , Convolution equations and projection methods for their solution, Transl. of Math. Monographs, Vol. 41, Amer. Math. Soc., Providence 1974. [5] and , Toeplitz forms and their applications, Univ. of California Press, Berkely and Los Angeles 1958. [6] Some classes of singular equations, North-Holland 1978. [7] und , Projektionsverfahren und die näherungsweise Lösung singulärer Gleichungen, Teubner-Text zur Mathematik, Leipzig 1977. [8] Silbermann, WZ der TH Karl-Marx-Stadt 20 pp 683– (1978) [9] Silbermann, Demonstratio Mathematica [10] Widom, Journal of Math. 95 pp 333– (1973) 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.