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The continuous dual of a test-function space, generalizing ordinary functions and measures.
The term “distribution” depends on the test-function space; tempered distributions are dual to Schwartz space.
wp-distribution_spacenlab-distribution_spaceEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Tempered distributions are continuous linear functionals on Schwartz space.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
wp-distribution_spacenlab-distribution_spaceEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Quantum fields are generally operator-valued distributions smeared against test functions.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
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