The unified approach to spectral analysis. II

Abstract:

We apply a new unified method to construct a closed, selfadjoint in ${\mathcal {L}^2}$, extension of a partial differential operator in all the spaces ${\mathcal {L}^p}({{\mathbf {R}}^n}),1 \leqslant p \leqslant \infty$, to a large class of partial differential operators. We obtain very weak conditions in the potentials.