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ArticleOriginal scientific text

Title

The monogenic functional calculus

Authors 1, 2, 3

Affiliations

  1. School of Mathematics, UNSW, Sydney, NSW 2052, Australia
  2. CMA, ANU, Canberra, ACT 0200, Australia
  3. School of Mathematics, Physics, Computing and Electronics, Macquarie University, Sydney, NSW 2109, Australia

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.

Keywords

ENG
functional calculus, Clifford algebra, monogenic function

Bibliography

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Studia Mathematica
1999/136/2
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Pages:
99-119
Main language of publication
English
Received
1997-07-16
Accepted
1999-05-07
Published
1999
Exact and natural sciences