Noncommutative analog of functional superanalysis

A noncommutative analysis being a natural extension of the superanalysis by Vladimirov and Volovich is constructed (instead of supercommutative Banach algebras arbitrary noncommutative Banach algebras are considered). Based on this analysis the noncommutative theory of distributions is developed. It can be applied further to Feynman integration. As the noncommutative algebras one can use the Weil and the Clifford algebras and also another algebras of quantum observables.