Integral in the sense of principal value as a distribution over parameters of integration

Details Integral in the sense of principal value as a distribution over parameters of integration Integral in the sense of principal value as a distribution over parameters of integration

2003-03-10

arxiv.org/abs/math-ph/0303024v2

Physics

Mathematical Physics

LaTeX, 13 pages, no figures, 2 misprints are corrected

Scientific paper

An integral in the sense of principal value of a singular function or of product of singular functions can appear itself as a singular function in some range of values of integration parameters. In this case, if necessary subsequently to integrate with respect to parameters, the problem arises about interpretation of the initial integral as a distribution over the integration parameters. A solution to this problem is offered, which is initiated by actual applications in quantum field theory.

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