The F-functional calculus for bounded operators

Fabrizio Colombo, Jonathan Gantner, David P. Kimsey

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

The Fueter mapping theorem in integral form introduced in [86], see Chapter 2.2, provides an integral transform that turns slice hyperholomorphic functions into Fueter regular ones. By formally replacing the scalar variable in this integral transform by an operator T, we obtain a functional calculus for Fueter regular functions that is based on the theory of slice hyperholomorphic functions. The F-functional calculus was introduced and studied in the following papers [54, 78, 81, 86].

Original languageEnglish
Title of host publicationOperator Theory
Subtitle of host publicationAdvances and Applications
PublisherSpringer International Publishing
Pages151-176
Number of pages26
DOIs
StatePublished - 1 Jan 2018
Externally publishedYes

Publication series

NameOperator Theory: Advances and Applications
Volume270
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

ASJC Scopus subject areas

  • Analysis

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