Markov interlacing property for exponential polynomials (Q968860)

An extended Tchebyshev system on the real line is considered. The Markov interlacing property for these systems is determined. A general condition is formulated which ensures the validity of Markov interlacing property for polynomials from extended Tchebyshev system on the real line. It's proven that this condition is satisfied for some known systems, including exponential polynomials. It's obtained as a corollary that Markov interlacing property holds true for Müntz polynomials, too.