CONVOLUTION AND WIENER AMALGAM SPACES ON THE AFFINE GROUP
CONVOLUTION AND WIENER AMALGAM SPACES ON THE AFFINE GROUP
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Affine 群上的卷积和维纳汞齐空间
DOI：
10.1142/9789812792389_0011
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
Justus
中科院分区：
文献类型：
--
作者：
C. Heil;Gitta Kutyniok;Justus
Wiener合并空间是一类由范数定义的函数或分布空间，该范数将局部隶属准则与全局准则合并在一起。这种汞齐空间的版本在文献中多次独立出现，通常为形成结果提供了一个自然和引人注目的背景。作为通常的勒贝格空间L(R)在区分函数的局部性质和全局性质方面的缺点的一个例子，请注意，函数的所有重排都具有相同的L范数。因此，不可能根据其范数来识别函数是否是特征
Wiener amalgam spaces are a class of spaces of functions or distributions defined by a norm which amalgamates a local criterion for membership in the space with a global criterion. Versions of such amalgam spaces have arisen independently many times in the literature, and often provide a natural and compelling context for formulating results. As one illustration of the shortcomings of the usual Lebesgue space L(R) in regard to distinguishing between local and global properties of functions, note that all rearrangements of a function have identical L norms. Hence it is not possible to recognize from its norm whether a function is the characteristic