Results 231 to 240 of about 236,630 (266)

Maltsev equal-norm tight frames

Izvestiya: Mathematics, 2022
A frame in $\mathbb{R}^d$ is a set of $n\geqslant d$ vectors whose linear span coincides with $\mathbb{R}^d$. A frame is said to be equal-norm if the norms of all its vectors are equal. Tight frames enable one to represent vectors in $\mathbb{R}^d$ in the form closest to the representation in an orthonormal basis.
Sergey Yakovlevich Novikov, Victoria Vladimirovna Sevost'yanova   +1 more
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Finite Normalized Tight Frames

Advances in Computational Mathematics, 2003
Given a Hilbert space \(H\), a sequence \(\{x_n\}\subset H\) is a frame if there exist constants \(0 < A \leq B < \infty\) such that for all \(y\in H\): \(A\|y\|^2 \leq \sum_n |\langle y, x_n \rangle|^2 \leq B \|y\|^2\). A frame is tight if \(A=B\), and a tight frame is normalized if for all \(n\): \(\|x_n\|=1\).
Benedetto, John J., Fickus, Matthew
openaire   +2 more sources

Tight K-frames and weaving of K-frames

Journal of Pseudo-Differential Operators and Applications, 2021
The authors provide a sufficient condition for a given Bessel sequence to be a \(K\) frame in a Hilbert space. They also characterize the weaving of \(K\) frames in Hilbert spaces. They provide several sufficient conditions on a \(K\) frame under the action of a bounded surjective operator on the Hilbert space to be \(K\) woven or woven.
Xiangchun Xiao, Kai Yan, Guoping Zhao, Yucan Zhu   +3 more
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Equiangular tight frames

Journal of Mathematical Sciences, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Malozemov, V. N., Pevnyi, A. B.
openaire   +1 more source

Tight Frame Wavelets, their Dimension Functions, MRA Tight Frame Wavelets and Connectivity Properties

Advances in Computational Mathematics, 2003
We study the set of tight frame wavelets, and characterize its various important subsets. For example, we prove that a TFW is an MRA TFW if and only if its dimension function is either zero or one. We also prove that the set of MSF TFW-s is connected.
Paluszyński, Maciej, Šikić, Hrvoje, Weiss, Guido, Xiao, Shaoliang   +3 more
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On p-adic tight wavelet frames

Journal of Mathematical Analysis and Applications, 2023
The authors design tight wavelet frames on the field of \(p\)-adic numbers. To this purpose, Pontryagin's principle of duality on zero-dimensional groups is exploited instead of the unitary extension principle. The most of results are formulated for an arbitrary zero-dimensional group with a mild technical restriction.
Lukomskii, S. F., Vodolazov, A. M.
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Expansion of frames to tight frames

Acta Mathematica Sinica, English Series, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Dengfeng, Sun, Wenchang
openaire   +2 more sources