2 November 1999 Convolution theorems: partitioning the space of integral transforms: II
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Abstract
Investigating a number of different integral transforms uncovers distinct patterns in the type of scale-based convolution theorems afforded by each. It is shown that scaling convolutions behave in quite a similar fashion to translational convolution in the transform domain, such that the many diverse transforms have only a few different forms for convolution theorems. The hypothesis is put forth that the space of integral transforms is partitionable based on these forms.
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Bruce W. Suter, Alan R. Lindsey, "Convolution theorems: partitioning the space of integral transforms: II", Proc. SPIE 3807, Advanced Signal Processing Algorithms, Architectures, and Implementations IX, (2 November 1999); doi: 10.1117/12.367670; https://doi.org/10.1117/12.367670
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