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thus any translation invariant operation can be represented as a convolution.
thus any translation invariant operation can be represented as a convolution.
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* earliest uses: the entry on convolution has some historical information.
==external links==* earliest uses: the entry on convolution has some historical information.
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== convolution of measures ==let "g" be a topological group.
==convolution of measures==let "g" be a topological group.
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furthermore, under certain conditions, convolution is the most general translation invariant operation.
furthermore, under certain conditions, convolution is the most general translation invariant operation.
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the convolution is a product defined on the endomorphism algebra end("x") as follows.
the convolution is a product defined on the endomorphism algebra end("x") as follows.
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convolution operators are here represented by circulant matrices, and can be diagonalized by the discrete fourier transform.
convolution operators are here represented by circulant matrices, and can be diagonalized by the discrete fourier transform.
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عوامل بار برف مقایسه احتمالات دولت محدود به دست آمده با استفاده از روش multihazard convolution با کسانی که به دست آمده با استفاده از convolution خطر تنها به دست آمده است. اخیرا،
the snow load factors are obtained by comparisons of the limit state probabilities obtained using the multihazard convolution procedure with those obtained using the seismic hazard convolution only. more recently,
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on locally compact abelian groups, a version of the convolution theorem holds: the fourier transform of a convolution is the pointwise product of the fourier transforms.
on locally compact abelian groups, a version of the convolution theorem holds: the fourier transform of a convolution is the pointwise product of the fourier transforms.
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it is known, for instance, that every continuous translation invariant continuous linear operator on "l"1 is the convolution with a finite borel measure.
it is known, for instance, that every continuous translation invariant continuous linear operator on "l"1 is the convolution with a finite borel measure.
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* فهرست تبدیلهای مرتبط با تبدیل فوریه* تبدیل کسینوسی گسسته* s. a. martucci, "symmetric convolution and the discrete sine and cosine transforms," "ieee trans.
==references==* s. a. martucci, "symmetric convolution and the discrete sine and cosine transforms," "ieee trans.
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