| Abstract: | A noncommutative analysis is constructed that is a natural extension of the Vladimirov-Volovich superanalysis (instead of supercommutative Banach superalgebras, arbitrary noncommutative Banach algebras are considered). On the basis of this analysis, a noncommutative theory of generalized functions with further applications to Feynman integration is developed. As noncommutative algebras, the Weyl and Clifford algebras, and also other algebras of quantum observables can be considered.State Institute of Electronic Technology, Moscow. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 103, No. 2, pp. 233–245, May, 1995. |
