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- dbpedia:Schwartz_kernel_theorem
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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 himself (Schwartz distributions) have a two-variable theory that includes all reasonable bilinear forms on the space D of test functions. The space D itself consists of smooth functions of compact support.