Results 1 to 10 of about 76,766 (119)
Plasticity of the Unit Ball of c and c0 [PDF]
Journal of Mathematical Analysis and Applications, 2022 21 ...
exaly +4 more sources
Unit lemniscates contained in the unit ball [PDF]
Proceedings of the American Mathematical Society, 1982 Let { A 1
Shih, Mau-Hsiang, Wang, Hann-Tzong
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Hilbert Metric in the Unit Ball
Studia Scientiarum Mathematicarum Hungarica, 2023 The Hilbert metric between two points š„, š¦ in a bounded convex domain šŗ is defined as the logarithm of the cross-ratio š„, š¦ and the intersection points of the Euclidean line passing through the points š„, š¦ and the boundary of the domain. Here, we study this metric in the case of the unit ball š¹š.
Oona Rainio, Matti Vuorinen
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Spectral Approximation on the Unit Ball [PDF]
SIAM Journal on Numerical Analysis, 2014 Spectral approximation by polynomials on the unit ball is studied in the frame of the Sobolev spaces $W^{s}_p(\mathbb{B}^d)$, $1<p<\infty$. The main results give sharp estimates on the order of approximation by polynomials in the Sobolev spaces and explicit construction of approximating polynomials.
Huiyuan Li, Yuan Xu
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Mixed orthogonality on the unit ball
Computational and Applied Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cleonice F. Bracciali, Teresa E. PĆ©rez
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Unit Ball Graphs on Geodesic Spaces [PDF]
Graphs and Combinatorics, 2020 Consider finitely many points in a geodesic space. If the distance of two points is less than a fixed threshold, then we regard these two points as "near". Connecting near points with edges, we obtain a simple graph on the points, which is called a unit ball graph. If the space is the real line, then it is known as a unit interval graph.
Masamichi Kuroda, Shuhei Tsujie
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Global Rigidity of Unit Ball Graphs [PDF]
SIAM Journal on Discrete Mathematics, 2020 A $d$-dimensional bar-and-joint framework $(G,p)$, where $G$ is a graph and $p$ maps the vertices of $G$ to points in $\mathbb{R}^d$, is said to be globally rigid if every $d$-dimensional framework $(G,q)$ with the same graph and same edge lengths is congruent to $(G,p)$.
DƔniel Garamvƶlgyi, Tibor JordƔn
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A Pair in a Crowd of Unit Balls
European Journal of Combinatorics, 2001 Let \({\mathcal F}\) be a family of mutually nonoverlapping unit balls in the \(n\)-dimensional Euclidean space \(\mathbb{R}^n\). The distance between the centers of \(A,B\in{\mathcal F}\) is denoted by \(d(A,B)\). It is proved, among others, that if \(d(A,B)< 4\) and \(n\geq 5\), then \(A\) and \(B\) are always visible from each other, that is a light
Kiyoshi Hosono +2 more
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Approximation in the Closed Unit Ball [PDF]
, 2018 In this expository article, we present a number of classic theorems that serve to identify the closure in the sup-norm of various sets of Blaschke products, inner functions and their quotients, as well as the closure of the convex hulls of these sets. The results presented include theorems of CarathƩodory, Fisher, Helson-Sarason, Frostman, Adamjan-Arov-
Mashreghi, Javad, Ransford, Thomas
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Evaluating polynomials over the unit disk and the unit ball [PDF]
Numerical Algorithms, 2013 19 pages, 3 ...
Kendall E. Atkinson +2 more
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