Bekarys Bekmaganbetov. The inverse function theorem for several noncommuting variables. May 26, 2021

The inverse function theorem and the implicit function theorem for functions of several noncommuting variables

Noncommutative functions, or functions of noncommuting variables, or nc-functions, introduced by J.Taylor, are noncommutative analogues to usual functions of several "commuting" variables. For nc-functions holomorphicity can be defined and a fruitful analysis can be done. For instance, the inverse function theorem and the implicit function theorem hold. The basic definitions related to nc-functions will be given, and the inverse function theorem and the implicit function theorem will be proved for the so called fine holomorphic functions.

Видео Bekarys Bekmaganbetov. The inverse function theorem for several noncommuting variables. May 26, 2021 канала Mathematics at HSE