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pro vyhledávání: '"Damelin, S. B."'
Autor:
Damelin, S. B.
The Whitney near extension problem for finite sets in $\mathbb R^d,\, d\geq 2$ asks the following: Let $\phi:E\to \mathbb R^d$ be a near distortion on a finite set $E\subset \mathbb R^d$ with certain geometry. How to decide whether $\phi$ extends to
Externí odkaz:
http://arxiv.org/abs/2302.08045
Autor:
Fefferman, C., Damelin, S. B.
This announcement considers the following problem. We produce a bounded mean oscillation theorem for small distorted diffeomorphisms from $\mathbb R^D$ to $\mathbb R^D$. A revision of this announcement is in the memoir preprint: arXiv:2103.09748, [1]
Externí odkaz:
http://arxiv.org/abs/2111.03588
Autor:
Damelin, S. B., Diethelm, K.
Publikováno v:
Numerical Functional Analysis and Optimization, 2022
This paper concerns an analytic and numerical analysis of a class of weighted singular Cauchy integrals with exponential weights $w:=\exp(-Q)$ with finite moments and with smooth external fields $Q:\mathbb R\to [0,\infty)$, with varying smooth convex
Externí odkaz:
http://arxiv.org/abs/1711.09495
Autor:
Damelin, S. B., Mode, B. A. W.
The problem of finding good approximations of arbitrary 1-qubit gates is identical to that of finding a dense group generated by a universal subset of $SU(2)$ to approximate an arbitrary element of $SU(2)$. The Solovay-Kitaev Theorem is a well-known
Externí odkaz:
http://arxiv.org/abs/1709.03007
A Koksma-Hlawka-Potential Identity on the $d$ Dimensional Sphere and its Applications to Discrepancy
Autor:
Damelin, S. B.
Let $d\geq 2$ be an integer, $S^d\subset {\mathbb R}^{d+1}$ the unit sphere and $\sigma$ a finite signed measure whose positive and negative parts are supported on $S^d$ with finite energy. In this paper, we derive an error estimate for the quantity
Externí odkaz:
http://arxiv.org/abs/1707.08929
Autor:
Damelin, S. B., Hoang, N. S.
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, vol. 2018, Article ID 3950312, 8 pages, 2018
Numerical experiments with smooth surface extension and image inpainting using harmonic and biharmonic functions are carried out. The boundary data used for constructing biharmonic functions are the values of the Laplacian and normal derivatives of t
Externí odkaz:
http://arxiv.org/abs/1707.06567
Publikováno v:
Involve, a Journal of Mathematics 5-2 (2012), 159--172
This paper deals with a BMO Theorem for $\epsilon$ distorted diffeomorphisms from $\mathbb R^D$ to $\mathbb R^D$ with applications to manifolds of speech and sound. The material for this paper appears in the research memoir [2].
Comment: The mat
Comment: The mat
Externí odkaz:
http://arxiv.org/abs/1610.08138
Publikováno v:
Involve 11 (2018) 243-251
In this paper, we introduce the $k\times n$ (with $k\leq n$) truncated, supplemented Pascal matrix which has the property that any $k$ columns form a linearly independent set. This property is also present in Reed-Solomon codes; however, Reed-Solomon
Externí odkaz:
http://arxiv.org/abs/1506.07437
Autor:
Sun, J., Damelin, S. B.
We introduce various quantities that can be defined for an arbitrary matroid, and show that certain conditions on these quantities imply that a matroid is not representable over $\mathbb{F}_q$ where $q$ is a prime power. Mostly, for a matroid of rank
Externí odkaz:
http://arxiv.org/abs/1506.06425
Autor:
Greene, A., Damelin, S. B.
A central question in Quantum Computing is how matrices in $SU(2)$ can be approximated by products over a small set of "generators". A topology will be defined on $SU(2)$ so as to introduce the notion of a covering exponent \cite{letter}, which compa
Externí odkaz:
http://arxiv.org/abs/1506.05785