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arxiv: funct-an/9502006 · v1 · pith:QI32BPXAnew · submitted 1995-02-25 · funct-an · hep-th· math.OA· quant-ph

The Riesz-Clifford Functional Calculus for Non-Commuting Operators and Quantum Field Theory

classification funct-an hep-thmath.OAquant-ph
keywords calculusfieldfunctionalquantumtheoryanalysiscliffordnon-commuting
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We present a Riesz-like hyperholomorphic functional calculus for a set of non-commuting operators based on the Clifford analysis. Applications to the quantum field theory are described. Keywords: Functional calculus, Weyl calculus, Riesz calculus, Clifford analysis, quantization, quantum field theory. AMSMSC Primary:47A60, Secondary: 81T10

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