Formulations of the -functional calculus and some consequences. Issue 3 (5th May 2016)
- Record Type:
- Journal Article
- Title:
- Formulations of the -functional calculus and some consequences. Issue 3 (5th May 2016)
- Main Title:
- Formulations of the -functional calculus and some consequences
- Authors:
- Colombo, Fabrizio
Gantner, Jonathan - Abstract:
- Abstract : In this paper we introduce the two possible formulations of the -functional calculus that are based on the Fueter–Sce mapping theorem in integral form and we introduce the pseudo- -resolvent equation. In the case of dimension 3 we prove the -resolvent equation and we study the analogue of the Riesz projectors associated with this calculus. The case of dimension 3 is also useful to study the quaternionic version of the -functional calculus.
- Is Part Of:
- Proceedings. Volume 146:Issue 3(2016)
- Journal:
- Proceedings
- Issue:
- Volume 146:Issue 3(2016)
- Issue Display:
- Volume 146, Issue 3 (2016)
- Year:
- 2016
- Volume:
- 146
- Issue:
- 3
- Issue Sort Value:
- 2016-0146-0003-0000
- Page Start:
- 509
- Page End:
- 545
- Publication Date:
- 2016-05-05
- Subjects:
- Fueter–Sce mapping theorem in integral form, -- -spectrum, -- formulations of the -functional calculus for n-tuples of operators, -- projectors, -- quaternionic version of the -functional calculus, -- quaternionic -resolvent equation
Primary 47A10, -- 47A60
Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=PRM ↗
- DOI:
- 10.1017/S0308210515000645 ↗
- Languages:
- English
- ISSNs:
- 0308-2105
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 1691.xml