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Transactions of the American Mathematical Society

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Spectral multiplicity theory for a class of singular integral operators


Author: Walter Koppelman
Journal: Trans. Amer. Math. Soc. 113 (1964), 87-100
MSC: Primary 47.70
DOI: https://doi.org/10.1090/S0002-9947-1964-0164256-8
MathSciNet review: 0164256
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  • [1] W. Koppelman, On the spectral theory of singular integral operators, Trans. Amer. Math. Soc. 97 (1960), 35-63. MR 0119099 (22:9865)
  • [2] W. Koppelman and J. D. Pincus, Perturbation of continuous spectra and singular integral operators, Report IMM-NYU 242, New York University, New York, 1957.
  • [3] -, Spectral representations for finite Hilbert transformations, Math. Z. 71 (1959), 399-407. MR 0107144 (21:5869)
  • [4] N. I. Muskhelishvili, Singular integral equations, Noordhoff, Groningen, 1953. MR 0355494 (50:7968)
  • [5] I. I. Privalov, Randeigenschaften analytischer Funktionen, VEB Deutscher Verlag der Wissenschaften, Berlin, 1956. MR 0083565 (18:727f)
  • [6] J. T. Schwartz, Some results on the spectra and spectral resolutions of a class of singular integral operators, Comm. Pure Appl. Math. 15 (1962), 75-90. MR 0163177 (29:480)

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DOI: https://doi.org/10.1090/S0002-9947-1964-0164256-8
Article copyright: © Copyright 1964 American Mathematical Society

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