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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.

 

Töplerian $(L^ 2)$-bases
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by Philip Hartman and Aurel Wintner PDF
Trans. Amer. Math. Soc. 63 (1948), 207-225 Request permission
References
    H. Bohr, Ueber die gleichmässige Konvergenz Dirichletscher Reihen, J. Reine Angew. Math. vol. 143 (1913) pp. 204-211. —, Fastperiodische Funktionen, Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 1, no. 5, 1932. H. Burkhardt, Entwicklungen nach oscillierenden Functionen und Integration der Differentialgleichungen der mathematischen Physik, Jber. Deutschen Math. Verein, vol. 10 (1908) pp. 905-906.
  • Philip Hartman, On a Class of Arithmetical Fourier Series, Amer. J. Math. 60 (1938), no. 1, 66–74. MR 1507302, DOI 10.2307/2371543
  • Ernst Hellinger and Otto Toeplitz, Grundlagen für eine Theorie der unendlichen Matrizen, Math. Ann. 69 (1910), no. 3, 289–330 (German). MR 1511591, DOI 10.1007/BF01456325
  • A. Töpler, Grazer Mitteilungen, 1872, pp. 66-112 (the complete reference is not available here); a detailed abstract is given in [3].
  • Otto Toeplitz, Zur Theorie der Dirichletschen Reihen, Amer. J. Math. 60 (1938), no. 4, 880–888 (German). MR 1507354, DOI 10.2307/2371266
  • Aurel Wintner, Über die Spektra der Toeplitzschen $D$-Formen, Monatsh. Math. Phys. 48 (1939), 147–152 (German). MR 1379, DOI 10.1007/BF01696172
  • Aurel Wintner, Diophantine approximations and Hilbert’s space, Amer. J. Math. 66 (1944), 564–578. MR 11497, DOI 10.2307/2371766
  • Aurel Wintner, On Töpler’s wave analysis, Amer. J. Math. 69 (1947), 758–768. MR 22926, DOI 10.2307/2371797
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Additional Information
  • © Copyright 1948 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 63 (1948), 207-225
  • MSC: Primary 42.4X
  • DOI: https://doi.org/10.1090/S0002-9947-1948-0025010-1
  • MathSciNet review: 0025010