In this article we will study the spectral properties of a deterministic signal exponentially damped in the past and in the future (the damping in the future is controlled by a time constant). The ...

Mathematics of Computation, Vol. 77, No. 264 (Oct., 2008), pp. 2437-2445 (9 pages) Let F'/F be a finite normal extension of number fields with Galois group Gal(F'/F). Let χ be an irreducible character ...

We show that certain sums of products of Hermite-Biehler entire functions have only real zeros, extending results of Cardon. As applications of this theorem, we construct sums of exponential functions ...