On the determination of the phase of a Fourier integral. I
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- by Edwin J. Akutowicz PDF
- Trans. Amer. Math. Soc. 83 (1956), 179-192 Request permission
References
- Edwin J. Akutowicz, A qualitative characterization of Blaschke products in a half-plane, Amer. J. Math. 78 (1956), 677–684. MR 82547, DOI 10.2307/2372463 R. E. A. C. Paley and N. Wiener, The Fourier transform in the complex domain, 1934.
- 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 7200, DOI 10.1215/S0012-7094-42-00944-X W. Kryloff, On functions which are regular in a half-plane, Rec. Math. (Mat. Sbornik) N.S. vol. 6 (1939) (in Russian).
- Rolf Nevanlinna, Eindeutige analytische Funktionen, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Band XLVI, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1953 (German). 2te Aufl. MR 0057330, DOI 10.1007/978-3-662-06842-7 S. Saks, Theory of the integral, Monografje Matematyczne, vol. 7, Warszawa-Lwow, 1937. E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford, 1937.
Additional Information
- © Copyright 1956 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 83 (1956), 179-192
- MSC: Primary 44.0X
- DOI: https://doi.org/10.1090/S0002-9947-1956-0080802-2
- MathSciNet review: 0080802