Schwartz space
ConceptCalculus and Analysis
Function space of rapidly decreasing smooth functions
1.25Uncommon
Uncommon
Schwartz space
- Calculus and Analysis
In mathematics, Schwartz space is the function space of all functions whose derivatives of every order are rapidly decreasing. Its Fourier transform is an automorphism of the space. By duality, this permits the definition of the Fourier transform for elements of its dual space, the tempered distributions. A function in Schwartz space is sometimes called a Schwartz function. The space is named after French mathematician Laurent Schwartz.
- Definition
- Functions whose derivatives of all orders are rapidly decreasing
- Fourier transform
- An automorphism on the space
- Named after
- Laurent Schwartz
Sources and credits
Sources and credits
- Article
- Schwartz space (English Wikipedia)
- Wikidata
- Q1369621
- Text
- Card text is adapted from the English Wikipedia article by an automated summary. Wikipedia content is available under CC BY-SA 4.0; see the article history for its contributors. CC BY-SA 4.0 · Article history and contributors
- Illustration
- By User:Michael Hardy. Public domain · File page on Wikimedia CommonsUser:Michael Hardy, Own workModifications: Resized and converted to WebP
- Popularity
- 45 median daily views (Wikimedia Pageviews API (all-access, user agent))
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