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IEVref:103-01-03ID:
Language:enStatus: backup
Term: distribution
Synonym1: generalized function
[Preferred]
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Definition: continuous linear functional which assigns a real or complex number to any function of a real or complex variable belonging to the class of infinitely differentiable functions vanishing outside a bounded interval or domain

NOTE 1 A function D(x) can be considered as a distribution D assigning to a function f(x) the value

D(f)=+D(x)f(x)dx if this integral exists.

NOTE 2 The derivative of a distribution D is another distribution D′ defined for any function f(x) by

D(f)=D(df/dx).


Publication date:2009-12
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