On the additive decomposition for polynomic maps |
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Authors: | Olivier P. |
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Affiliation: | Louisiana State University, Baton Rouge, LA, USA; |
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Abstract: | A polynomic operator can be represented asT= Ltauwhere τ is an imbedding of the input Hilbert resolution space into the appropriate Hilbert scale, andLis a mapping of the Hilbert resolution space that results from closing the span of the Hilbert scale with respect to a naturally defined inner product, into the output Hilbert resolution space. This paper demonstrates the relationship between the strongly causal (strongly anticausal, memoryless) components ofLandT. |
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