Free Analysis Questions I: Duality Transform for the Coalgebra of partial_(X:B)
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freealgebracoalgebradifferencedualityquotienttransformanalysis
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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.
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