Schwartz Kernel Theorem



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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.

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functiongeneralized functionmathematical relationmathematical theorempropositionstatementtheoremtheorems in functional analysistheorytransform


Schwartz's kernel theorem


Kernsatz von Schwartz (de)

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