Time-Frequency Analysis of Sjöstrand's Class

Time-Frequency Analysis of Sjöstrand's Class
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DOI:
10.4171/rmi/471
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发表时间:
2004-09
影响因子:
1.2
通讯作者:
K. Gröchenig
K. Gröchenig
中科院分区:
数学2区
文献类型:
--
作者:
K. Gröchenig

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本文利用时频分析(相空间分析)的方法研究了一类奇异的伪微分算子--Sjostrand类的性质。与经典的处理相比,时频方法导致Sjostrand的基本结果的惊人的简单证明和深远的推广
We investigate the properties an exotic symbol class of pseudodifferential operators, Sjostrand's class, with methods of time-frequency analysis (phase space analysis). Compared to the classical treatment, the time-frequency approach leads to striklingly simple proofs of Sjostrand's fundamental results and to far-reaching generalizations