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Reproducing kernels for the irreducible ...

Ehler, Martin...

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Reproducing kernels for the irreducible components of polynomial spaces on unions of Grassmannians by Ehler, Martin ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	The decomposition of polynomial spaces on unions of Grassmannians $\mathcal G_{{k_1},d}\cup\ldots\cup \mathcal G_{{k_r},d}$ into irreducible orthogonally invariant subspaces and their reproducing kernels are investigated. We also generalize the concepts of cubature points and $t$-designs from single Grassmannians to unions. We derive their characterization as minimizers of a suitable energy potential to enable $t$-design constructions by numerical optimization. We also present new analytic families of $t$-designs for $t=1,2,3$.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1411.5865

Citation

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AMA 11th EditionReferences

Ehler, Martin. Reproducing kernels for the irreducible components of polynomial spaces on unions of Grassmannians. Australian National University. September 06, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/23910

APA 7th EditionReferences

Ehler, Martin. (2023). Reproducing kernels for the irreducible components of polynomial spaces on unions of Grassmannians. Australian National University. https://online.provdatabase.com/cite/23910

Chicago 17th EditionReferences

Ehler, Martin. Reproducing kernels for the irreducible components of polynomial spaces on unions of Grassmannians. Australian National University. 2023. https://online.provdatabase.com/cite/23910

HarvardReferences

Ehler, Martin. (2023). Reproducing kernels for the irreducible components of polynomial spaces on unions of Grassmannians. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23910. (Accessed 20 September 2024).

Harvard AustraliaReferences

Ehler, Martin, 2023, Reproducing kernels for the irreducible components of polynomial spaces on unions of Grassmannians, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/23910>

MLA 9th EditionWorks Cited

Ehler, Martin. Reproducing kernels for the irreducible components of polynomial spaces on unions of Grassmannians. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23910.

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