Mathematical Methods in the Applied Sciences · 1996 · 16 citations · 9 references
Natural SciencesMathematicsPhysicsAlgebraMathematical PhysicsQuantum MechanicsHilbert Space FormalismLie AlgebrasNoncommutative AlgebraOperator TheoryQuantum Field TheoryQuantum OperatorsFunctional Calculus For OperatorsOperator AlgebrasOperatorsRiesz Operators
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.
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A. Sudbery · Mathematical Proceedings of the Cambridge Philosophical Society · 1979 · 601 citations
The analytic-functional calculus for several commuting operators
Joseph L. Taylor · Acta Mathematica · 1970 · 313 citations · Full text