AN ALGEBRA OF PSEUDODIFFERENTIAL OPERATORS
AN ALGEBRA OF PSEUDODIFFERENTIAL OPERATORS
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DOI：
10.4310/mrl.1994.v1.n2.a6
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发表时间：
1994
期刊：
影响因子：
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通讯作者：
Johannes Sj
中科院分区：
文献类型：
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作者：
Johannes Sj
在这篇笔记中，我们在不明确提及任何导数的情况下，引入R上的符号赋范空间，它包含在光滑函数的经典符号空间s0,0中，光滑函数的所有导数都有界。我们证明了伪量的对应空间（使用缩写为pseudor = pseudodifferential算子）a)与量化中参数t∈[0,1]的选择无关：
In this note we introduce, without explicit reference to any derivatives, a normed space of symbols on R which is contained in the classical symbol space S 0,0 of smooth functions which are bounded with all their derivatives. We show that the corresponding space of pseudors (using the abbreviation pseudor = pseudodifferential operator) a) is independent of the choice of the parameter t ∈ [0, 1] in the quantization: