Wavelet and Linear AlgebraWavelet and Linear Algebra
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Tue, 26 Mar 2019 14:40:38 +0100FeedCreatorWavelet and Linear Algebra
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Feed provided by Wavelet and Linear Algebra. Click to visit.On some special classes of Sonnenschein matrices
http://wala.vru.ac.ir/article_32993_0.html
‎In this paper we consider the special classes of Sonnenschein matrices‎, ‎namely the Karamata matrices $K[alpha,beta]=left(a_{n,k}right)$ with the entries‎ ‎[{a_{n,k}} = sumlimits_{v = 0}^k {left( begin{array}{l}‎ ‎n\‎ ‎v‎ ‎end{array} right){{left( {1‎ - ‎alpha‎ - ‎beta } right)}^v}{alpha ^{n‎ - ‎v}}left( begin{array}{l}‎ ‎n‎ + ‎k‎ - ‎v‎ - ‎1\‎ ‎,,,,,,,,,,k‎ - ‎v‎ ‎end{array} right)‎ ‎{beta ^{k‎ - ‎v}}},] and calculate their row and column sums and give some applications of these sums‎.Thu, 01 Nov 2018 20:30:00 +0100On a New G-Frame and Duality
http://wala.vru.ac.ir/article_26091_5140.html
We introduce a new g-frame (singleton g-frame), g-orthonormal basis and g-Riesz basis and study corresponding notions in some other generalizations of frames.Also, we investigate duality for some kinds of g-frames. Finally, we illustrate an example which provides a suitable translation from discrete frames to Sun's g-frames.Fri, 23 Jun 2017 19:30:00 +0100A Necessary Condition for a Shearlet System to be a Frame via Admissibility
http://wala.vru.ac.ir/article_26093_5140.html
Necessary conditions for shearlet and cone-adapted shearlet systems to be frames are presented with respect to the admissibility condition of generators.Fri, 23 Jun 2017 19:30:00 +0100Banach Pair Frames
http://wala.vru.ac.ir/article_26094_5140.html
In this article, we consider pair frames in Banach spaces and introduce Banach pair frames. Some various concepts in the frame theory such as frames, Schauder frames, Banach frames and atomic decompositions are considered as special kinds of (Banach) pair frames. Some frame-like inequalities for (Banach) pair frames are presented. The elements that participant in the construction of (Banach) pair frames are characterized. It is shown that a Banach space $mathrm{X}$ has a Banach pair frame with respect to a Banach scalar sequence space $ell$, when it is precisely isomorphic to a complemented subspace of $ell$. It is shown that if we are allowed to choose the scalar sequence space, pair frames and Banach pair frames with respect to the chosen scalar sequence space denote the same concept.Fri, 23 Jun 2017 19:30:00 +0100Some Results on Convex Spectral Functions: I
http://wala.vru.ac.ir/article_29390_5140.html
In this paper, we give a fundamental convexity preserving for spectral functions. Indeed, we investigate infimal convolution, Moreau envelope and proximal average for convex spectral functions, and show that this properties are inherited from the properties of its corresponding convex function. This results have many applications in Applied Mathematics such as semi-definite programmings and engineering problems.Tue, 02 Jan 2018 20:30:00 +0100p-adic Shearlets
http://wala.vru.ac.ir/article_29394_5140.html
The field $Q_{p}$ of $p$-adic numbers is defined as the completion of the field of the rational numbers $Q$ with respect to the $p$-adic norm $|.|_{p}$. In this paper, we study the continuous and discrete $p-$adic shearlet systems on $L^{2}(Q_{p}^{2})$. We also suggest discrete $p-$adic shearlet frames. Several examples are provided.Tue, 31 Jul 2018 19:30:00 +0100The Sign-Real Spectral Radius for Real Tensors
http://wala.vru.ac.ir/article_31755_5140.html
In this paper a new quantity for real tensors, the sign-real spectral radius, is defined and investigated. Various characterizations, bounds and some properties are derived. In certain aspects our quantity shows similar behavior to the spectral radius of a nonnegative tensor. In fact, we generalize the Perron Frobenius theorem for nonnegative tensors to the class of real tensors.Fri, 06 Jul 2018 19:30:00 +0100