Foundations of free noncommutative function theory /

510MS
Am512

135872

Kaliuzhnyi-Verbovetskyi, Dmitry S. Foundations of free noncommutative function theory / Dmitry S. Kaliuzhnyi-Verbovetskyi and Victor Vinnikov. - Providence : American Mathematical Society, c2014.
vi, 183 p. ; 26 cm. - (Mathematical surveys and monographs ; v 199.) Content notes : 1. Introduction--
2. NC functions and their difference-differential calculus--
3. Higher order nc functions and their difference-differential calculus--
4. The Taylor-Taylor formula--
5. NC functions on nilpotent matrices--
6. NC polynomials vs. polynomials in matrix entries--
7. NC analyticity and convergence of TT series--
9. Convergence of nc power series--
9. Direct summands extensions of nc sets and nc functions (Some) earlier work on nc functions--
Appendix A. Similarity invariant envelopes and extension of nc functions--
Bibliography--
Index. 9781470416973 (hbk.: acidfree paper) * Functional analysis. Noncommutative algebras. Noncommutative function spaces. Nonassociative rings and algebras -- General nonassociative rings -- Free algebras. * Vinnikov, Victor. * Title * Series