Please use this identifier to cite or link to this item:
Title: Commutators on Fock spaces
Author: Alpay, Daniel
Cerejeiras, Paula
Kähler, Uwe
Kling, Trevor
Keywords: Fock space
Gelfond–Leontiev derivatives
Issue Date: 3-Apr-2023
Publisher: AIP Publishing
Abstract: Given a weighted l2 space with weights associated with an entire function, we consider pairs of weighted shift operators, whose commutators are diagonal operators, when considered as operators over a general Fock space. We establish a calculus for the algebra of these commutators and apply it to the general case of Gelfond–Leontiev derivatives. This general class of operators includes many known examples, such as classic fractional derivatives and Dunkl operators. This allows us to establish a general framework, which goes beyond the classic Weyl–Heisenberg algebra. Concrete examples for its application are provided.
Peer review: yes
DOI: 10.1063/5.0080723
ISSN: 0022-2488
Publisher Version:
Appears in Collections:CIDMA - Artigos
DMat - Artigos
CHAG - Artigos

Files in This Item:
File Description SizeFormat 
5.0080723.pdf5.19 MBAdobe PDFembargoedAccess

Formato BibTex MendeleyEndnote Degois 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.