On the Geometric Interpretation of the Complex Fourier Transforms of a Class of Exponential Functions

Details On the Geometric Interpretation of the Complex Fourier Transforms of a Class of Exponential Functions On the Geometric Interpretation of the Complex Fourier Transforms of a Class of Exponential Functions

2009-01-21

arxiv.org/abs/0901.3328v1

Mathematics

Complex Variables

12 pages

Scientific paper

A class of complex Fourier Transforms of exponential functions which have all
their zeros on the real line is explored from a geometric perspective. These
transforms belong to the Laguerre - Polya class, and it is proved that all the
zeros are simple.

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