On the Zeros of the Complex Fourier Transforms of a Class of Exponential Functions

Details On the Zeros of the Complex Fourier Transforms of a Class of Exponential Functions On the Zeros of the Complex Fourier Transforms of a Class of Exponential Functions

2009-01-22

arxiv.org/abs/0901.3518v1

Mathematics

Complex Variables

11 pages

Scientific paper

A class theorem is presented and proved: the complex Fourier transforms of a
certain class of exponential functions have all their zeros on the real line. A
class of basis functions is first considered, and the class is then extended
via the method of convolutions.

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