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On a classical theorem
in the theory of Fourier integrals


Author: Zoltán Sasvári
Journal: Proc. Amer. Math. Soc. 126 (1998), 711-713
MSC (1991): Primary 42A38; Secondary 60E10
DOI: https://doi.org/10.1090/S0002-9939-98-04604-8
MathSciNet review: 1469433
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Abstract: In this note we give a short proof of a classical theorem in the theory of Fourier integrals.


References [Enhancements On Off] (What's this?)

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  • 2. Hewitt, E., Ross, K. A.: Abstract Harmonic Analysis I. New York: Springer-Verlag 1963. MR 28:158
  • 3. Lukacs, E.: Characteristic Functions. London: Griffin 1960. MR 23:A1392
  • 4. Pólya, G.: Über die Nullstellen gewisser ganzer Funktionen. Math. Zeitschrift, 2, 352-383(1918).
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  • 6. Titchmarsh, E. C.: Introduction to the Theory of Fourier Integrals. Oxford: Clarendon Press 1937. MR 89c:42002 (3rd ed.)
  • 7. Zygmund, A.: Trigonometric Series, Vol. II., Cambridge: University Press 1959. MR 21:6498

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Additional Information

Zoltán Sasvári
Affiliation: Department of Mathematics, Technical University of Dresden, Mommsenstrasse 13, 01062 Dresden, Germany
Email: sasvari@math.tu-dresden.de

DOI: https://doi.org/10.1090/S0002-9939-98-04604-8
Received by editor(s): March 4, 1996
Communicated by: J. Marshall Ash
Article copyright: © Copyright 1998 American Mathematical Society

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