A multiplier theorem for Schrödinger operators.(English)Zbl 0779.35025

The aim of the article is to give some sufficient conditions on a bounded Borel measurable function $$F$$ which imply boundedness of $$F(A)$$ on $$L_ p(\mathbb{R}^ n)$$, $$p\neq 2$$, for some class of Schrödinger operators. These conditions are formulated for functions $$F_ t(x)=F(tx)$$.

MSC:

 35J10 Schrödinger operator, Schrödinger equation 47A57 Linear operator methods in interpolation, moment and extension problems
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