The unified approach to spectral analysis. II

Abstract

We apply a new unified method to construct a closed, selfadjoint in L 2 {\mathcal {L}^2} , extension of a partial differential operator in all the spaces L p ( R n ) , 1 ⩽ p ⩽ ∞ {\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.