An operator bound related to Feynman-Kac formulae

Jefferies, Brian

doi:10.1090/S0002-9939-1994-1212283-6

An operator bound related to Feynman-Kac formulae
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by Brian Jefferies

Proc. Amer. Math. Soc. 122 (1994), 1191-1202

DOI: https://doi.org/10.1090/S0002-9939-1994-1212283-6

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Abstract:

Those Fourier matrix multiplier operators which are convolutions with respect to a matrix valued measure are characterised in terms of an operator bound. As an application, the finite-dimensional distributions of the process associated with Dirac equation are shown to be unbounded on the algebra of cylinder sets.

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