Dispersive Estimates for Schrödinger Operators in Dimension Two
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- Schlag, W. Commun. Math. Phys. (2005) 257: 87. doi:10.1007/s00220-004-1262-9
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We prove L1(ℝ2)→L∞(ℝ2) 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.