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Fourier-Wiener transform of the formal expression for multipleself-intersection local time is described in terms of the integral, which isdivergent on the diagonals. The method of regularization we use in this workrelated to regularization of functions with non-integrable singularities. Thestrong local nondeterminism property, which is more restrictive than theproperty of local nondeterminism introduced by S.Berman is considered. Itsgeometrical meaning in the construction of the regularization is investigated.As the example the problem of regularization is solved for the compactperturbation of the planar Wiener process.

On regularization of formal Fourier--Wiener transform of the self-intersection local time of planar Gaussian process