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Singular Support


The singular support of a generalized function u is the complement of the largest open set on which u is smooth. Roughly speaking, it is the closed set where the distribution does not correspond to a smooth function.


See also

Fourier Transform, Generalized Function, Support

This entry contributed by Todd Rowland

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References

Folland, G. B. Introduction to Partial Differential Equations, 2nd ed. Princeton, NJ: Princeton University Press, 1996.

Referenced on Wolfram|Alpha

Singular Support

Cite this as:

Rowland, Todd. "Singular Support." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/SingularSupport.html

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