Integral in the sense of principal value as a distribution over parameters of integration
Mathematical Physics
2007-05-23 v2 High Energy Physics - Theory
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0303024,
title = {Integral in the sense of principal value as a distribution over parameters of integration},
author = {M. L. Nekrasov},
journal= {arXiv preprint arXiv:math-ph/0303024},
year = {2007}
}
Comments
LaTeX, 13 pages, no figures, 2 misprints are corrected