An Operator Bound Related to Feynman-Kac Formulae
Copyright policy )An Operator Bound Related to Feynman-Kac Formulae
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.
Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups, Path integrals in quantum mechanics, Fourier matrix multiplier operators, Measures and integration on abstract linear spaces, Norms (inequalities, more than one norm, etc.) of linear operators, matrix valued measure, Dirac equation, Vector-valued measures and integration, Initial value problems for first-order hyperbolic systems, operator bound
Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups, Path integrals in quantum mechanics, Fourier matrix multiplier operators, Measures and integration on abstract linear spaces, Norms (inequalities, more than one norm, etc.) of linear operators, matrix valued measure, Dirac equation, Vector-valued measures and integration, Initial value problems for first-order hyperbolic systems, operator bound
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