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Noncommutative Functional Calculus

Theory and Applications of Slice Hyperholomorphic Functions

Prof. Fabrizio Colombo Politecnico di Milano; Irene Sabadini; Daniele C. Struppa

978-3-0348-0110-2

2011
Edition 1
- This book shows that the Riesz-Dunford functional calculus can be extended to n-tuples of not necessarily commuting operators. To do so, the authors develop a completely new spectral theory.
- The fundamental technical tools is the newly developed theory of slice hyperholomorphic functions (which includes functions of a paravector variable with values in a Clifford algebra and quaternionic valued functions of a quaternionic variable).
- The monograph is based on results by the authors and thus it is completely original, except for a few pages of basic material and an Appendix.
- Includes supplementary material: sn.pub/extras
€100

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