First Order Optimum Calculi
Abstract
Description
A new notion of an optimum first order calculi was introduced in [Borowiec, Kharchenko and Oziewicz, 1993]. A module of vector fields for a coordinate differential is defined. Some examples of optimal algebras for homogeneous bimodule commutations are presented. Classification theorem for homogeneous calculi with commutative optimal algebras in two variables is proved.
to be published in Banach Center Publications, in the Proc. of the Banach Center Symposium 1994 on "Generalizations of Complex Analysis and Their Applications in Physics" Ed. by J. Lawrynowicz, 14 pages, TeX
to be published in Banach Center Publications, in the Proc. of the Banach Center Symposium 1994 on "Generalizations of Complex Analysis and Their Applications in Physics" Ed. by J. Lawrynowicz, 14 pages, TeX