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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Approximation and variance
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by Arthur Sard PDF
Trans. Amer. Math. Soc. 73 (1952), 428-446 Request permission
References
  • A. C. Aitken, Studies in practical mathematics. IV. On linear approximation by least squares, Proc. Roy. Soc. Edinburgh Sect. A 62 (1945), 138–146. MR 16697
  • —, On least squares and linear combinations of observations, ibid. vol. 55 (1935) pp. 42-48. C. F. Gauss, Theoria combinationis observationum erroribus minimis obnoxiae (1821, 1823, 1826), Werke, vol. 4, pp. 1-94, or Abhandlungen zur Methode der kleinsten Quadrate, Berlin, 1887, pp. 1-91.
  • Paul R. Halmos, Introduction to Hilbert Space and the theory of Spectral Multiplicity, Chelsea Publishing Co., New York, N. Y., 1951. MR 0045309
  • E. Hellinger and O. Toeplitz, Integralgleichungen und Gleichungen mit unendlichvielen Unbekannten, Chelsea Publishing Co., New York, N. Y., 1953 (German). MR 0056185
  • A. Kolmogoroff, Interpolation und Extrapolation von stationären zufälligen Folgen, Bull. Acad. Sci. URSS Sér. Math. [Izvestia Akad. Nauk. SSSR] 5 (1941), 3–14 (Russian, with German summary). MR 0004416
  • A. N. Kolmogorov, On the proof of the method of least squares, Uspehi Matem. Nauk (N. S.) 1(11) (1946), no. 1, 57–70 (Russian). MR 0020239
  • F. J. Murray, Linear transformations in Hilbert space, Princeton, 1941.
  • Johann von Neumann, Mathematische Grundlagen der Quantenmechanik, Dover Publications, New York, 1943 (German). MR 0009560
  • M. H. Stone, Linear transformations in Hilbert space, New York, 1932. N. Wiener, Extrapolation, interpolation, and smoothing of stationary time series (with two appendices by N. Levinson), Cambridge, Mass., 1949.
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Additional Information
  • © Copyright 1952 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 73 (1952), 428-446
  • MSC: Primary 46.3X
  • DOI: https://doi.org/10.1090/S0002-9947-1952-0052688-X
  • MathSciNet review: 0052688