On the spectral expansions of distributions connected with Schrödinger operators

In this work the spectral expansions of the distributions connected with Schrödinger’s operator are investigated. The localization principle of Riesz means Eλsf(x) of spectral expansions of distributions ff from the Sobolev space W2−ℓ(RN),ℓ>0, is proved for when s≥(N−1)/2+ℓs≥(N−1)/2+ℓ.