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The Riesz–Clifford Functional Calculus for Non‐Commuting Operators and Quantum Field Theory
Author(s) -
Kisil Vladimir V.,
Ramírez de Arellano Enrique
Publication year - 1996
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19960525)19:8<593::aid-mma783>3.0.co;2-#
Subject(s) - mathematics , functional calculus , calculus (dental) , field (mathematics) , clifford analysis , algebra over a field , pure mathematics , operator theory , dirac operator , medicine , dentistry
We present a Riesz‐like hyperholomorphic functional calculus for a set of non‐commuting operators based on Clifford analysis. Applications to the quantum field theory are described.