in order to obtain information about the rate of convergence and the saturation properties of the sequence (Ln). The above formula is called Voronovskaya’s formula for the sequence (Ln)n≥1. This paper is devoted to establishing a Voronovskaya-type formula for the sequence of positive linear operators introduced in [1], which approximate continuous functions of exponential order. To obtain the o...

The existence of solutions of the inhomogeneous Cauchy-Riemann equations as a powerful tool in the study of analytic functions of several complex variables is well demonstrated in t h e monograph [22] of L. H6rmander. The main objective of this expository paper is to show how this technique can be used tO Unify and simplify the study of interpolation problems for entire functions of one complex...

The present article deals with convergence in probability in L-spaces from a functional analytic point of view. The L-spaces in question are the preduals of von Neumann algebras with finite faithful normal traces. To consider an easy example we look at the commutative case: Let (Ω,Σ, μ) be a finite measure space, let (fn) be a bounded sequence in L (Ω,Σ, μ). If (appropriately chosen representat...

Let R be a commutative Noetherian ring and let M be a nitely generated R-module. If I is an ideal of R generated by M-regular sequence, then we study the vanishing of the rst Tor functors. Moreover, for Artinian modules and coregular sequences we examine the vanishing of the rst Ext functors.

A well-known theorem of Frame, Robinson, and, Thrall states that if h is a partition of n, then the number of Standard Young Tableaux of shape h is n! divided by the product of the hook-lengths. We give a new combinatorial proof of this formula by exhibiting a bijection between the set of unsorted Young Tableaux of shape A, and the set of pairs (T, S), where T is a Standard Young Tableau of sha...

A powerful extension of the tableau method is described. It consists in a new simpliication rule allowing to prune the search space and a new way of extracting a model from a given (possibly innnite) branch. These features are combined with a former method for simultaneous search for refutations and models. The possibilities of the new method w.r.t. the original one are clearly stated. In parti...