On the spectral expansions of distributions connected with Schrِdinger operators

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