Linear maps and impulse responses
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Several results are given concerning the representation of causal (mainly) linear operators defined on a set of locally integrable inputs. These results establish the existence of impulse responses and associated integral representations, as well as the convergence of a classical sum to an integral, in a general setting in which a certain continuity condition plays a central role. They also provide necessary and sufficient conditions for a causal linear operator to have a convolution representation with a continuous impulse-response function
Published in:
Circuits and Systems, IEEE Transactions on
(Volume:35
,
Issue:
2
)
Date of Publication: Feb 1988