Fourier transforms having only real zeros
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- by David A. Cardon PDF
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Abstract:
Let $G(z)$ be a real entire function of order less than $2$ with only real zeros. Then we classify certain distribution functions $F$ such that the Fourier transform $H(z)=\int _{-\infty }^{\infty }G(it)e^{izt} dF(t)$ has only real zeros.References
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Additional Information
- David A. Cardon
- Affiliation: Department of Mathematics, Brigham Young University, Provo, Utah 84602
- Email: cardon@math.byu.edu
- Received by editor(s): September 23, 2003
- Received by editor(s) in revised form: December 23, 2003
- Published electronically: October 18, 2004
- Communicated by: Joseph A. Ball
- © Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 1349-1356
- MSC (2000): Primary 42A38, 30C15
- DOI: https://doi.org/10.1090/S0002-9939-04-07677-4
- MathSciNet review: 2111941