The monogenic functional calculus
Studia Mathematica, Tome 136 (1999) no. 2, pp. 99-119
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
functional calculus, Clifford algebra, monogenic function
Affiliations des auteurs :
Brian Jefferies 1 ;  1
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author = {Brian Jefferies and },
title = {The monogenic functional calculus},
journal = {Studia Mathematica},
pages = {99--119},
year = {1999},
volume = {136},
number = {2},
doi = {10.4064/sm-136-2-99-119},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-136-2-99-119/}
}
Brian Jefferies; . The monogenic functional calculus. Studia Mathematica, Tome 136 (1999) no. 2, pp. 99-119. doi: 10.4064/sm-136-2-99-119
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