Schwartz Kernel Theorem

(Theory)

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Theory
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What is Schwartz kernel theorem?

In mathematics, the Schwartz kernel theorem is a foundational result in the theory of generalized functions, published by Laurent Schwartz in 1952. It states, in broad terms, that the generalized functions introduced by Schwartz (Schwartz distributions) have a two-variable theory that includes all reasonable bilinear forms on the space of test functions. The space itself consists of smooth functions of compact support.

Technology Types

functiongeneralized functionmathematical relationmathematical theorempropositionstatementtheoremtheorems in functional analysistheorytransform

Synonyms

Schwartz's kernel theorem

Translations

Kernsatz von Schwartz (de)

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