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.
@article{bwmeta1.element.bwnjournal-article-smv136i2p99bwm,
author = {Brian Jefferies and Alan McIntosh and James Picton-Warlow},
title = {The monogenic functional calculus},
journal = {Studia Mathematica},
volume = {133},
year = {1999},
pages = {99-119},
zbl = {0971.47013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv136i2p99bwm}
}
Jefferies, Brian; McIntosh, Alan; Picton-Warlow, James. The monogenic functional calculus. Studia Mathematica, Tome 133 (1999) pp. 99-119. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv136i2p99bwm/
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