Methods and Applications of Analysis

Volume 16 (2009)

Number 1

Reeh-Schlieder Theorem for Ultrahyperfunctional Wightman Theory

Pages: 33 – 44

DOI: https://dx.doi.org/10.4310/MAA.2009.v16.n1.a2

Author

Daniel H.T. Franco

Abstract

It will be shown that the Reeh-Schlieder property holds for states of quantum fields for ultrahyperfunctional Wightman theory. As by product, it is shown that the Reeh-Schlieder property also holds for states of quantum fields on a non-commutative Minkowski space in the setting ultrahyperfunctional.

Keywords

Reeh-Schlieder theorem, tempered ultrahyperfunctions, non-commutative theory

2010 Mathematics Subject Classification

46F12, 46F15, 46F20, 81T05

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Published 1 January 2009