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On a classical theorem in the theory of Fourier integrals
Author(s):
Zoltán
Sasvári
Journal:
Proc. Amer. Math. Soc.
126
(1998),
711-713.
MSC (1991):
Primary 42A38;
Secondary 60E10
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:
- 1.
- Esseen, C.-G.: Fourier analysis of distribution functions. Acta Math. 77, 1-125(1944). MR 7:312a
- 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).
- 5.
- Pólya, G.: Remarks on characteristic functions. Proc. First Berkeley Conf. on Math. Stat. and Prob., 115-123, Berkeley: Univ. of Calif. Press 1949. MR 10:463c
- 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:
10.1090/S0002-9939-98-04604-8
PII:
S 0002-9939(98)04604-8
Received by editor(s):
March 4, 1996
Communicated by:
J. Marshall Ash
Copyright of article:
Copyright
1998,
American Mathematical Society
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