The H-functional calculus

  • Fabrizio Colombo
  • , Jonathan Gantner
  • , David P. Kimsey

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

1 Scopus citations

Abstract

The H-functional calculus is an extension of the Riesz-Dunford functional calculus for bounded operators to unbounded sectorial operators, and it was introduced by A. McIntosh in [165]; see also [5]. This calculus is connected with pseudodifferential operators, with Kato’s square root problem, and with the study of evolution equations and, in particular, the characterization of maximal regularity and with the fractional powers of differential operators. For an overview and more problems associated with this functional calculus for the classical case, see the book [156] and the references therein.

Original languageEnglish
Title of host publicationOperator Theory
Subtitle of host publicationAdvances and Applications
PublisherSpringer International Publishing
Pages137-149
Number of pages13
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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