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Results tagged with fa.functional-analysis
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user 1229
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
10
votes
5
answers
1k
views
What is a rigorous statement for "linear time-invariant systems can be represented as convol...
In Signal Processing books, a fundamental theorem is that linear time invariant systems can be represented as a convolution with a distribution. Could you give a mathematically rigorous statement of …
- 2,745
4
votes
2
answers
4k
views
Proof of Young's convolutions inequality for a general measure on $\mathbb R^d$
Is Young's inequality true for an arbitrary measure on $\mathbb R^d$? If so, where can I find a proof of it? In particular, where can I find the proof of the discrete version (i.e the version for $ …
- 2,745