Estimates of 1D resonances in terms of potentials

Korotyaev Evgeny

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Estimates of 1D resonances in terms of potentials

机译：根据电势估算一维共振

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We discuss resonances for Schrodinger operators with compactly supported potentials on the line and the half-line. We estimate the sum of the negative power of all resonances and eigenvalues in terms of the norm of the potential and the diameter of its support. The proof is based on harmonic analysis and Carleson measures arguments.

机译：我们讨论在线和半线上具有紧密支持的电势的薛定inger算子的共振。我们根据势的范数及其支撑的直径估算所有共振和特征值的负功率之和。该证明基于谐波分析，并且Carleson测量了参数。

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《Journal d'analyse mathematique》 |2016年第null期|共16页
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Korotyaev Evgeny;
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正文语种 eng
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Estimates of 1D resonances in terms of potentials

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