reproducing kernel Hilbert space

Hilbert space of functions in which point evaluation is a continuous linear functional

Facts

6 properties
Short name
RKHS[4]
Defining formula
\begin{aligned}&H\subset\mathbb R^X\\&\forall x\in X\exists K_x\in H\forall v\in H\colon v(x)=\langle K_x,v\rangle\end{aligned}
Maintained by WikiProject
WikiProject Mathematics[7]
🏷️ Also known as
en reproducing kernel en reproducing kernel Hilbert space en reproducing-kernel Hilbert space en RKHS fr espace de Hilbert à noyau reproduisant fr noyau reproduisant ja 再生核 ja 再生核ヒルベルト空間 ko 재생핵 힐베르트 공간 pl przestrzeń Hilberta z jądrem reprodukującym ru гильбертово пространство с воспроизводящим ядром tr doğuran çekirdekli Hilbert uzayı tr Doğuran çekirdekli hilbert uzayı uk Гільбертів простір з відтворювальним ядром zh RKHS zh 再生核Hilbert空间 zh 再生核希尔伯特空间 zh 重建核希尔伯特空间 zh-hant 再生核希爾伯特空間 zh-hant 重建核希爾伯特空間
🔖 Identifiers · 6
OpenAlex ID
C80884492
Encyclopedia of China (Third Edition) ID (2026)
hZBsr
Encyclopedia of China (Third Edition) old ID (2021)
288273
Encyclopedia of Mathematics article ID
Reproducing-kernel_Hilbert_space
Freebase ID
/m/02_nfg
Microsoft Academic ID (discontinued)
80884492

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🔗 Connections
Studied by 2
Subclass of 2
Maintained by WikiProject 1
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APA 4ort.xyz Knowledge Graph. (2026). reproducing kernel Hilbert space. Retrieved November 12, 2026, from https://4ort.xyz/entity/reproducing-kernel-hilbert-space
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BibTeX @misc{4ortxyz_reproducing-kernel-hilbert-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{reproducing kernel Hilbert space}}, year = {2026}, url = {https://4ort.xyz/entity/reproducing-kernel-hilbert-space}, note = {Accessed: 2026-11-12}}
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Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 18w ago · Nyuhn · 2026-07-10 view diff on Wikidata ↗
    Described by source → The Elements of Statistical Learning
    Encyclopedia of China (Third Edition) ID (2026) → hZBsr
    Studied by → functional analysis, statistical learning theory
    Maintained by WikiProject → WikiProject Mathematics
    + 1 other property edited (see Wikidata diff for full list)
    "Changed the item: QuickStatements 3.0 batch #40849: ZGBK ID"
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