Yangmi Lim

We study two-player zero-sum recursive games with a countable state space and finite action spaces at each state. When the family of n-stage values $$\{v_n,n\ge 1\}$$ is totally bounded for the uniform norm, we prove the existence of the uniform ...

Let (p"n)"n be a sequence of orthogonal polynomials with respect to the measure @m. Let T be a linear operator acting in the linear space of polynomials P and satisfying deg(T(p))=deg(p)-1, for all polynomial p. We then construct a sequence of ...

The authors first present a class of expansions in a series of Bernoulli polyomials and then show how this general result can be applied to yield various (known or new) polynomial expansions. The corresponding expansion problem involving the Euler ...