Polynomial functions on bounded chains

1.. This question is partially answered for lattice polynomial functions in Section 3. We start by surveying well-known results concerning normal form representations of these

Motivated by the numerical treatment of parametric and stochastic PDEs, we analyze the least-squares method for polynomial approximation of multivariate func- tions based on

In this section, we exhibit several examples of Markov chains satisfying H (p) (for different norms) for which one can prove a lower bound for the deviation probability of

If the polynomial derivation D has an infinite number of Darboux polynomials then by Darboux’s theorem, D has a rational first integral.. Thus in this situation the problem is

This paper investigates consequences of the recent [5] which contains important characterizations of regular chains in the nondifferential case [5, Theorem 21] and in the

Note that all finitely presented solvable groups that are known to have polynomial Dehn functions are nilpotent [19, §5], [32] or polycyclic [12], [13].. The following theorem

Wang, N-manifolds carrying bounded but no Dirichlet finite harmonic functions, Nagoya Math.. Walsh, Behavior of biharmonic func- tions on Wiener's and Roy den's

In this chapter we review the basic concepts of functions, polynomial func- tions, rational functions, trigonometric functions, logarithmic functions, ex- ponential