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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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On the spectral theory of singular integral operators
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by Walter Koppelman PDF
Trans. Amer. Math. Soc. 97 (1960), 35-63 Request permission
    T. Carleman, Sur la résolution de certaines équations intégrales, Arkiv för Matematik, Astronomi och Fysik vol. 16 (1922).
  • R. Courant and D. Hilbert, Methods of mathematical physics. Vol. I, Interscience Publishers, Inc., New York, N.Y., 1953. MR 0065391
  • W. Koppelman and J. D. Pincus, Perturbation of continuous spectra and singular integral operators, Report IMM-NYU 242, New York University, 1957.
  • S. G. Mihlin, Singular integral equations, Amer. Math. Soc. Translation 1950 (1950), no. 24, 116. MR 0036434
  • N. I. Muskhelishvili, Singular integral equations, Wolters-Noordhoff Publishing, Groningen, 1972. Boundary problems of functions theory and their applications to mathematical physics; Revised translation from the Russian, edited by J. R. M. Radok; Reprinted. MR 0355494
  • I. I. Priwalow, Randeigenschaften analytischer Funktionen, Hochschulbücher für Mathematik, Band 25, VEB Deutscher Verlag der Wissenschaften, Berlin, 1956 (German). Zweite, unter Redaktion von A. I. Markuschewitsch überarbeitete und ergänzte Auflage. MR 0083565
  • Heinz Söhngen, Zur Theorie der endlichen Hilbert-Transformation, Math. Z. 60 (1954), 31–51 (German). MR 61704, DOI 10.1007/BF01187356
  • E. C. Titchmarsh, Introduction to the theory of Fourier integrals, London, Oxford University Press, 1937.
  • F. G. Tricomi, Integral equations, Pure and Applied Mathematics, Vol. V, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1957. MR 0094665
  • A. C. Zaanen, Linear analysis, New York, Interscience, 1953.
  • Walter Koppelman, On the spectral theory of singular integral operators, Proc. Nat. Acad. Sci. U.S.A. 44 (1958), 1252–1254. MR 103399, DOI 10.1073/pnas.44.12.1252
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Additional Information
  • © Copyright 1960 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 97 (1960), 35-63
  • MSC: Primary 46.00
  • DOI:
  • MathSciNet review: 0119099