时频分析中的权函数
Weight Functions in Time-Frequency Analysis
摘要:
我们讨论了调和分析中最常见的权函数类型以及它们在\tfa中是如何出现的。作为一般规则,次乘权重表征代数性质,适度权重表征模性质,Gelfand-Raikov-Shilov权重确定谱不变性,Beurling-Domar权重保证紧支撑检验函数的存在性。
英文摘要:
We discuss the most common types of weight functions in harmonic analysis and how they occur in \tfa . As a general rule, submultiplicative weights characterize algebra properties, moderate weights characterize module properties, Gelfand-Raikov-Shilov weights determine spectral invariance, and Beurling-Domar weights guarantee the existence of compactly supported test functions.
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