A class of pseudo-differential operators with oscillating symbols
A class of pseudo-differential operators with oscillating symbols
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一类带有振荡符号的伪微分算子
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
D. Yafaev
中科院分区：
文献类型：
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作者：
D. Yafaev
研究了长程散射理论中出现的一类具有振荡符号或振荡振幅的伪微分算子。我们发展了这类算子的基本计算，并解决了散射理论应用中的一些具体问题，特别是散射矩阵。特别地，我们证明了在自然假设下，具有振荡符号的伪微分算子的谱覆盖单位圆。
We study a class of pseudo-differential operators with oscillating symbols or osc illating amplitudes appearing in the long-range scattering theory. We develop the basic calc ulus for operators from such classes and solve some concrete problems posed by applications to scattering theory, especially to the scattering matrix. In particular, we show tha t under natural assumptions the spectrum of a pseudo-differential operator with an oscillating symb ol covers the unit circle.