Subordinated Multiparameter Groups of Linear Operators: Properties via the Transference Principle

Boris Baeumer; Mihály Kovács; Mark M. Meerschaert

doi:10.1007/978-3-7643-7794-6_3

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Subordinated Multiparameter Groups of Linear Operators: Properties via the Transference Principle

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Subordinated Multiparameter Groups of Linear Operators: Properties via the Transference Principle

Boris Baeumer, Mihály Kovács and Mark M. Meerschaert

Functional Analysis and Evolution Equations: The Günter Lumer Volume, pp.35-50

Birkhäuser Basel, 1st ed.

2007

DOI: https://doi.org/10.1007/978-3-7643-7794-6_3

Handle:

https://hdl.handle.net/10523/39330

Abstract

fractional derivatives

fractional powers

subordination

Transference principle

In this article we explore properties of subordinated d-parameter groups. We show that they are semi-groups, inheriting the properties of the subordinator via a transference principle. Applications range from infinitely divisible processes on a torus to the definition of inhomogeneous d-dimensional fractional derivative operators.

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Record Identifier: 9926548460801891
Title: Subordinated Multiparameter Groups of Linear Operators: Properties via the Transference Principle
Creators: Boris Baeumer
Mihály Kovács
Mark M. Meerschaert
Contributors: Herbert Amann (Editor)
Wolfgang Arendt (Editor)
Matthias Hieber (Editor)
Frank M. Neubrander (Editor)
Serge Nicaise (Editor)
Joachim von Below (Editor)
Publication Details: Functional Analysis and Evolution Equations: The Günter Lumer Volume, pp.35-50
Academic Unit: Mathematics; Mathematics and Statistics
Publisher: Birkhäuser Basel
Grant note: Swedish Research Council Postdoctoral grant (623-2005-5078); Science and Technology Foundation (CZN-14/2005); National Science Foundation (DMS-0417869)
Date published ; e-published: 2007
Copyright: Copyright © Birkhäuser Verlag Basel 2007. All rights reserved. This work was first published in Functional Analysis and Evolution Equations: The Günter Lumer Volume (Birkhäuser Basel). The open access link to the subscription article is provided under the Springer Nature SharedIt Content-Sharing Initiative (https://www.springernature.com/gp/researchers/sharedit) making the view-only full-text article freely and legally accessible to anyone for research purposes and private study via the link: https://rdcu.be/eRem8.
Comment: The published version is not available in full-text in OUR Archive. Where available, a link to the published version is provided (check the DOI and/or the Files and links section). The full-text item may be open access on the publisher's website. An earlier version of the work (such as authors' accepted manuscript following peer-review or unreviewed preprint/author's original version) may be available in the Files and links section of this record. Alternatively, readers may have subscription access to the full-text from the publisher.
Language: English
Resource Type ; Subtype: Book chapter