Free Analysis Questions I: Duality Transform for the Coalgebra of
arXiv:math/0306172
Abstract
A duality transform for the coalgebra of the free difference quotient derivation-multiplication of an operator with respect to a free algebra of scalars is constructed. The dual object is realized in an algebra of matricial analytic functions endowed with yet another generalization of the difference quotient derivation.
27 pages; key words and phrases: free difference quotient, derivation-comultiplication, generalized matricial resolvent, coalgebra duality, free