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of 24
pro vyhledávání: '"Zaitseva, Tatyana"'
The regularity of refinable functions has been analysed in an extensive literature and is well-understood in two cases: 1) univariate 2) multivariate with an isotropic dilation matrix. The general (non-isotropic) case offered a great resistance. It w
Externí odkaz:
http://arxiv.org/abs/2312.11182
Autor:
Zaitseva, Tatyana
Tile B-splines in $\mathbb{R}^d$ are defined as autoconvolutions of the indicators of tiles, which are special self-similar compact sets whose integer translates tile the space $\mathbb{R}^d$. These functions are not piecewise-polynomial, however, be
Externí odkaz:
http://arxiv.org/abs/2212.12945
A self-affine tiling of a compact set G of positive Lebesgue measure is its partition to parallel shifts of a compact set which is affinely similar to G. We find all polyhedral sets (unions of finitely many convex polyhedra) that admit self-affine ti
Externí odkaz:
http://arxiv.org/abs/2107.00518
We consider the problem of the uniform (in $L_\infty$) recovery of ridge functions $f(x)=\varphi(\langle a,x\rangle)$, $x\in B_2^n$, using noisy evaluations $y_1\approx f(x^1),\ldots,y_N\approx f(x^N)$. It is known that for classes of functions $\var
Externí odkaz:
http://arxiv.org/abs/2102.13203
Autor:
Zaitseva, Tatyana
We study self-similar attractors in the space $\mathbb{R}^d$, i.e., self-similar compact sets defined by several affine operators with the same linear part. The special case of attractors when the matrix $M$ of the linear part of affine operators and
Externí odkaz:
http://arxiv.org/abs/2008.09170
We study two-digit attractors (2-attractors) in $\mathbb{R}^d$ which are self-affine compact sets defined by two contraction affine mappings with the same linear part. They are widely studied in the literature under various names: twindragons, two-di
Externí odkaz:
http://arxiv.org/abs/2007.11279
Publikováno v:
Ученые записки Петрозаводского государственного университета / Proceedings of Petrozavodsk State University. 42(1):8-16
Externí odkaz:
https://www.ceeol.com/search/article-detail?id=831639
Autor:
Protasov, Vladimir Yu.1,2,3 (AUTHOR), Zaitseva, Tatyana I.3,4 (AUTHOR), Logofet, Dmitrii O.5 (AUTHOR) danilal@postman.ru
Publikováno v:
Mathematics (2227-7390). Dec2022, Vol. 10 Issue 23, p4417. 15p.
Autor:
Lomakin, Vladimir V., Putivtseva, Natalia P., Zaitseva, Tatyana V., Liferenko, Maxim V., Zaitsev, Igor M.
Publikováno v:
Astra Salvensis - revista de istorie si cultura / Astra Salvensis - review of history and culture. VI(Sup. 1):289-298
Externí odkaz:
https://www.ceeol.com/search/article-detail?id=646384
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