Some properties of mappings induced by Dirichlet polynomials

摘要

Dirichlet polynomials when sampled at 2n instances of time induce mappings which correspond a given Dirichlet polynomial to the data that it generates. It is shown in this paper that a Dirichlet polynomial of order ≤n is completely determined by the data it generates. In addition, it is also shown that the data generated by sampling all Dirichlet polynomials of order ≤n with positive coefficients at 2n instances of time form a convex subset of R2n.