ar X iv : f un ct - a n / 97 07 00 9 v 1 2 8 Ju l 1 99 7 One - parameter representations on C ∗ - algebras

ar X iv : f un ct - a n / 97 04 00 8 v 1 2 9 A pr 1 99 7 KMS - weights on C ∗ - algebras

In this paper, we build a solid framework for the use of KMS-weights on C *-algebras. We will use another definition than the one introduced by Combes in [4], but we will prove that they are equivalent. However, the subject of KMS-weights is approached from a somewhat different angle. We introduce a construction procedure for KMS-weights, prove the most important properties of them, construct t...

ar X iv : f un ct - a n / 97 04 00 3 v 1 1 9 A pr 1 99 7 Grassmannian and Elliptic Operators

A multi-dimensional analogue of the Krichever construction is discussed.

ar X iv : f un ct - a n / 97 07 00 7 v 1 1 9 Ju l 1 99 7 CONVERGENCE OF THE SPLITTING METHOD FOR SHALLOW WATER EQUATIONS

In this paper we analyze the convergence of the splitting method for shallow water equations. In particular we give an analytical estimation of the time step which is necessary for the convergence and then we study the behaviour of the motion of the shallow water in the Venice lagoon by using the splitting method with a finite element space discretization. The numerical calculations show that t...

ar X iv : f un ct - a n / 96 12 00 6 v 1 1 9 D ec 1 99 6 A CONNECTION BETWEEN MULTIRESOLUTION WAVELET THEORY OF SCALE N AND REPRESENTATIONS

ar X iv : f un ct - a n / 97 04 00 5 v 1 2 1 A pr 1 99 7 A natural extension of a left invariant lower semi - continuous weight

In this paper, we describe a natural method to extend left invariant weights on C *-algebraic quantum groups. This method is then used to improve the invariance property of a left invariant weight. We also prove some kind of uniqueness result for left Haar weights on C *-algebraic quantum groups arising from algebraic ones.