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Is it true in general that the theory of entire function of exponential type and and that of exponential polynomials (with purely imaginary exponents) are analogous ?

Can one derive results about entire function of exponential type by using results about exponential polynomials ?

For example I am wondering if it is possible to derive sampling theorems about band-limited functions by studying properties of exponential polynomials ?

What about the distribution of zeros ?

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