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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A contribution to the theory of Toeplitz matrices


Author: Ulf Grenander
Journal: Trans. Amer. Math. Soc. 79 (1955), 124-140
MSC: Primary 45.0X
MathSciNet review: 0070044
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  • [1] A. Erdélyi, ed., Higher transcendental functions, New York, 1953.
  • [2] G. H. Hardy and J. E. Littlewood, Tauberian theorems, Proc. London Math. Soc. vol. 13 1914).
  • [3] J. Meixner, Erzeugende Funktionen der Charlierschen Polynome, Math. Zeit. vol. 44 (1939).
  • [4] F. Riesz and B. Sz. Nagy, Leçons d'analyse fonctionelle, Budapest, 1952.
  • [5] G. Szegö, Beiträge zur Theorie der Toeplitzschen Formen, Math. Zeit. vol. 6 (1920) and vol. 9 (1921).
  • [6] Otto Toeplitz, Zur Theorie der quadratischen und bilinearen Formen von unendlichvielen Veränderlichen, Math. Ann. 70 (1911), no. 3, 351–376 (German). MR 1511625, http://dx.doi.org/10.1007/BF01564502
  • [7] G. N. Watson, Notes on generating functions of polynomials. J. London Math. Soc. vol. 8 (1933) and vol. 9 (1934).
  • [8] E. T. Whittaker and G. N. Watson, A course of modern analysis, Cambridge, 1935.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1955-0070044-8
PII: S 0002-9947(1955)0070044-8
Article copyright: © Copyright 1955 American Mathematical Society