Abstract
We revise a monogenic calculus for several non-commuting operators, which is defined through group representations. Instead of an algebraic homomorphism we use group covariance. The related notion of joint spectrum and spectral mapping theorem are discussed. The construction is illustrated by a simple example of calculus and joint spectrum of two non-commuting selfadjoint (n\times n) matrices.
Citation
Vladimir V. Kisil. "Monogenic Calculus as an Intertwining Operator." Bull. Belg. Math. Soc. Simon Stevin 11 (5) 739 - 757, March 2005. https://doi.org/10.36045/bbms/1110205630
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