References
- P. Billingsley, Convergence of Probability Measures, Wiley, New York, 1968
- R. Feynman, An operator calculus having application in quantum electrodynamics, Phys. Rev. 84 (1951), 108-128 https://doi.org/10.1103/PhysRev.84.108
- B. Jefferies and G. W. Johnson, Feynman's operational calculi for noncommuting operators: Definitions and elementary properties, Russian J. Math. Phys. 8 (2001), 153-178
- B. Jefferies and G. W. Johnson, Feynman's operational calculi for noncommuting systems of operators: Tensors, ordered supports and disentangling an exponential factor, Math. Notes 70 (2001), 744-764 https://doi.org/10.1023/A:1012903732597
- B. Jefferies and G. W. Johnson, Feynman's operational calculi for noncommuting operators: Spectral theory, Infinite Dimensional Anal. Quantum Probab. 5 (2002), 171-199 https://doi.org/10.1142/S021902570200078X
- B. Jefferies and G. W. Johnson, Feynman's operational calculi for noncommuting operators: The monogenic calculus, Adv. Appl. Clifford Algebra 11 (2002), 233-265 https://doi.org/10.1007/BF03042315
- B. Jefferies, G. W. Johnson, and L. Nielsen, Feynman's operational calculi for time dependent noncommuting operators, J. Korean Math. Soc. 38 (2001), 193-226
- G. W. Johnson and M. L. Lapidus, The Feynman Integral and Feynman Operational Calculus, Oxford U. Press, Oxford, 2000
- G. W. Johnson and M. L. Lapidus, Generalized Dyson series, generalized Feynman diagrams, The Feynman integral and Feynman's operational calculus, Mem. Amer. Math. Soc. 62 (1986), 1-78
- G. W. Johnson and L. Nielsen, Blending instantaneous and continuous phenomena in Feynman's operational calculi, Stochastic Analysis and Mathematical Physics (SAMP/ANESTOC2002), World Scientific, Singapore (2004), 229-254
- V. P. Maslov, Operational Mathod, Mir, Moscow, 1976
- V. E. Shatalov, V. E. Sternin, and B. Yu, Methods of Noncommutative Analysis, Walter de Gruyter, Berlin, 1996
- L. Nielsen, Stability properties for Feynman's operational calculus in the combined continuous/discrete Setting, Acta Appl. Math. 88 (2005), 47-79 https://doi.org/10.1007/s10440-005-6699-0
- M. Reed and B. Simon, Methods of Modern Mathematical Physics. Vol. I, Functional Analysis. Rev. and end. ed., Academic Press, New York, 1980
Cited by
- WEAK CONVERGENCE THEOREMS IN FEYNMAN'S OPERATIONAL CALCULI : THE CASE OF TIME DEPENDENT NONCOMMUTING OPERATORS vol.25, pp.3, 2012, https://doi.org/10.14403/jcms.2012.25.3.531