Example
If we take G = D′ the space of Schwartz distributions and want to characterize distributions which are locally functions, we must take for O(Ω) the classical function spaces called O′M(Ω) in the literature.
Then the projection on the first component of a distribution's wave front set is nothing else than its classical singular support, i.e. the complement of the set on which its restriction would be a smooth function.
Read more about this topic: Wave Front Set, Definition
Other articles related to "example":
4 ... Next we have to scale the structures up by increasing m ...
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- Example (musician), a British musician
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- HMS Example (P165), an Archer-class patrol and training vessel of the British Royal Navy
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Famous quotes containing the word example:
“Our intellect is not the most subtle, the most powerful, the most appropriate, instrument for revealing the truth. It is life that, little by little, example by example, permits us to see that what is most important to our heart, or to our mind, is learned not by reasoning but through other agencies. Then it is that the intellect, observing their superiority, abdicates its control to them upon reasoned grounds and agrees to become their collaborator and lackey.”
—Marcel Proust (1871–1922)