# Dispersive Estimates for Schrödinger Operators in Dimension Two

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DOI: 10.1007/s00220-004-1262-9

- Cite this article as:
- Schlag, W. Commun. Math. Phys. (2005) 257: 87. doi:10.1007/s00220-004-1262-9

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## Abstract

We prove *L*^{1}(ℝ^{2})→*L*^{∞}(ℝ^{2}) for the two-dimensional Schrödinger operator −Δ+*V* with the decay rate *t*^{−1}. We assume that zero energy is neither an eigenvalue nor a resonance. This condition is formulated as in the recent paper by Jensen and Nenciu on threshold expansions for the two-dimensional resolvent.

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© Springer-Verlag Berlin Heidelberg 2005