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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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