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

 

On the determination of the phase of a Fourier integral. I


Author: Edwin J. Akutowicz
Journal: Trans. Amer. Math. Soc. 83 (1956), 179-192
MSC: Primary 44.0X
MathSciNet review: 0080802
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  • [1] Edwin J. Akutowicz, A qualitative characterization of Blaschke products in a half-plane, Amer. J. Math. 78 (1956), 677–684. MR 0082547 (18,568d)
  • [2] R. E. A. C. Paley and N. Wiener, The Fourier transform in the complex domain, 1934.
  • [3] L. H. Loomis and D. V. Widder, The Poisson integral representation of functions which are positive and harmonic in a half-plane, Duke Math. J. 9 (1942), 643–645. MR 0007200 (4,101e)
  • [4] W. Kryloff, On functions which are regular in a half-plane, Rec. Math. (Mat. Sbornik) N.S. vol. 6 (1939) (in Russian).
  • [5] Rolf Nevanlinna, Eindeutige analytische Funktionen, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Bd XLVI, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1953 (German). 2te Aufl. MR 0057330 (15,208c)
  • [6] S. Saks, Theory of the integral, Monografje Matematyczne, vol. 7, Warszawa-Lwow, 1937.
  • [7] E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford, 1937.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1956-0080802-2
PII: S 0002-9947(1956)0080802-2
Article copyright: © Copyright 1956 American Mathematical Society