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Distribution (mathematical analysis)

Distributions (or generalized functions) are objects that generalize the classical notion of functions in mathematical analysis. Distributions make it possible to differentiate functions whose derivatives do not exist in the classical sense. In particular, any locally integrable function has a distributional derivative. Distributions are widely used in…

Art, Test functions & Problem of multiplication

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Basic idea

Test functions

Operations on distributions

Localization of distributions

Tempered distributions and Fourier transform

Convolution

Distributions as derivatives of continuous functions

Using holomorphic functions as test functions

Problem of multiplication

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Distribution (mathematical analysis)

Nodes135
Edges134
Triples0
Avg. degree1.99
Density0.014815
Components1

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distributions functions distribution function test space displaystyle continuous compact topology varphi linear smooth support defined schwartz rn also tempered define

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