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https://fr.wikipedia.org/wiki/Support_de_fonction
Les fonctions continues à support compact ont des propriétés souvent utiles. Les fonctions C ∞ à support compact sont utilisées pour construire des suites régularisantes . Celles-ci permettent, via un produit de convolution , d'approcher une fonction donnée par une suite de fonctions régulières.
https://math.stackexchange.com/questions/1077732/is-it-true-that-a-continuous-function-with-compact-support-is-uniformly-continuo
It's obvious that it's uniformly continuous on the support (because it is continuous on compact set), and outside the support (cause it's constant), separately. Could I use the continuity to show that it's uniformly continuous over all of $\mathbb R$?
https://fr.wikipedia.org/wiki/Fonction_C%E2%88%9E_%C3%A0_support_compact
Par exemple, la somme, le produit, le produit de convolution de deux fonctions C ∞ à support compact est encore une fonction C ∞ à support compact. Les fonctions C ∞ à support compact sont utilisées pour construire des suites régularisantes et des partitions de l'unité de classe C ∞.
https://ncatlab.org/nlab/show/compact+support
A function f: X → V f\colon X \to V on a topological space with values in a vector space V V (or really any pointed set with the basepoint called 0 0) has compact support (or is compactly supported) if the closure of its support, the set of points where it is non-zero, is a compact subset.
http://core.ac.uk/display/12532157
Sur les anneaux des fonctions continues à support compact . By Kaichiro Fujiwara. Download PDF (562 KB) Publisher: Department of Mathematics ... Sur les anneaux des fonctions continues à support compact . By Kaichiro Fujiwara. Download PDF (562 KB) Publisher: Department of ...
https://math.la.asu.edu/~lanchier/files/lec202.pdf
) des fonctions C1 a support compact est dense dans Lp() pour 1 p<1. [1], Sect. 4.4 2 Deux crit eres de densit e : les th eor emes de Hahn-Banach et de Baire. Th eor eme 2.1 (Hahn-Banach, forme g eom etrique) Soient Aet B deux parties dis-jointes, convexes et non vides d’un espace vectoriel norm e E. Si Aest ferm ee et Bcompacte, il
https://en.wikipedia.org/wiki/Support_(mathematics)
Every continuous function on a compact topological space has compact support since every closed subset of a compact space is indeed compact. Essential support [ edit ] If X is a topological measure space with a Borel measure μ (such as R n , or a Lebesgue measurable subset of R n , equipped with Lebesgue measure), then one typically identifies ...
https://www.ibm.com/support/knowledgecenter/en/SSKTMJ_9.0.1/admin/tune_compactoptions_r.html
In addition to enabling the Domino Attachment and Object Service (DAOS) property to consolidate new attachments in a database, you can use the listed Compact options to move attachments in existing documents into the DAOS repository while performing a copy-style compact of either a …
https://math.la.asu.edu/~lanchier/files/lec201.pdf
application T ∈ L(E,F) est continue si et seulement si son graphe est ferm´e dans E ×F. 2. L’espace C(X,Y ) des fonctions continues. Proposition 2.1 Si X est un espace compact alors l’espace vectoriel C(X,R) des fonctions conti-nues sur X a valeurs r´eelles est un espace de Banach.
https://www.planetmath.org/CompactlySupportedContinuousFunctionsAreDenseInLp
compactly supported continuous functions are dense in L p. ... We denote by C c (X) the space of continuous functions X → ℂ with compact support. Theroem - For every 1 ... By of μ, we know there exist an open set U and a compact set K such that K ...
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