The monogenic functional calculus

Brian Jefferies*, Alan McIntosh, James Picton-Warlow

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    44 Citations (Scopus)

    Abstract

    A study is made of a symmetric functional calculus for a system of bounded linear operators acting on a Banach space. Finite real linear combinations of the operators have real spectra, but the operators do not necessarily commute with each other. Analytic functions of the operators are formed by using functions taking their values in a Clifford algebra.

    Original languageEnglish
    Pages (from-to)99-119
    Number of pages21
    JournalStudia Mathematica
    Volume136
    Issue number2
    Publication statusPublished - 1999

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