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On the Local Operator Commutation Relations and Extensions of Locally Defined Positive Definite Functions on the Heisenberg Group

✍ Scribed by Ramón Bruzual; Marisela Domı́nguez

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 92 KB
Volume: 253
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7096

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✦ Synopsis

It is proved that if a group of unitary operators and a local semigroup of isometries satisfy the Weyl commutation relations then they can be extended to groups of unitary operators which also satisfy the commutation relations. As an application a result about the extension of a class of locally defined positive definite functions on the Heisenberg group is obtained.

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