generalized function

Generalizations of mathematical functions, elements of a space that extends a function space

EntityQ846537

Also known as distribution

Subclass of: mathematical object

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In mathematics, generalized functions are objects extending the notion of functions on real or complex numbers. There is more than one recognized theory, for example the theory of distributions. Generalized functions are especially useful for treating discontinuous functions more like smooth functions, and describing discrete physical phenomena such as point charges. They are applied extensively, especially in physics and engineering. Important motivations have been the technical requirements of theories of partial differential equations and group representations.

Overview

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13 statements · 8% with external sources · numbers in brackets are citations

Said to be the same as: distribution
Cause: generalization class of object(s) of occurrence: function

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9 identifiers linking generalized function across the web's reference databases

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Source last edited June 11, 2026. AIDB refreshes this page daily.

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AIDB. (2026). generalized function (Q846537). Retrieved from https://aidb.si/e/generalized-function-Q846537