Results 11 to 20 of about 411,849 (272)
Frames for the Solution of Operator Equations in Hilbert Spaces with Fixed Dual Pairing [PDF]
, 2018 For the solution of operator equations, Stevenson introduced a definition of frames, where a Hilbert space and its dual are {\em not} identified. This means that the Riesz isomorphism is not used as an identification, which, for example, does not make ...
Péter Balázs, Helmut Harbrecht
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Dual frames compensating for erasures
Glasnik Matematicki, 2017 We discuss the problem of recovering signal from frame coefficients with erasures. Such problems arise naturally from applications where some of the coefficients could be corrupted or erased during the data transmission. Provided that the erasure set satisfies the minimal redundancy condition, we construct a suitable synthesizing dual frame which ...
Ljiljana Arambašić, Damir Bakić
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Compare and contrast between duals of fusion and discrete frames [PDF]
Sahand Communications in Mathematical Analysis, 2017 Fusion frames are valuable generalizations of discrete frames. Most concepts of fusion frames are shared by discrete frames. However, the dual setting is so complicated.
Elnaz Osgooei, Ali akbar Arefijammal
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Pseudo-Duals of Frames with Applications
Applied and Computational Harmonic Analysis, 2001 AbstractWe show that there are duals {x*n} to a given (nonexact) frame {xn} that are not usual frames. In particular, these duals are not Bessel sequences. We call them pseudo-duals. A characterization and a constructions of pseudo-duals are given. Examples and potential applications of pseudo-dual theory are discussed.
Shidong Li, Hidemitsu Ogawa
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Approximation of Dual Gabor Frames, Window Decay, and Wireless Communications
, 2001 We consider three problems for Gabor frames that have recently received much attention. The first problem concerns the approximation of dual Gabor frames in $L_2(R)$ by finite-dimensional methods.
Thomas Strohmer
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Dual Frame Completion Problem [PDF]
arXivIn this paper we present the construction of an exact dual frame under specific structural assumptions posed on the dual frame. When given a frame $F$ for a finite dimensional Hilbert space, and a set of vectors $H$ that is assumed to be a subset of a dual frame of $F$, we answer the following question: Which dual frame $G$ for $F$ - if it exists ...
Aceska, Roza +2 more
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Applied and Computational Harmonic Analysis, 2022 One of a key problems in signal reconstruction process with the use of frames is to find a dual frame. Typically, a canonical dual frame is used. However, there are many applications where this choice appears to be unfortunate. Due to that fact, it is necessary to develop a tool, which helps to find a suitable dual frame. In this paper we give a method
Alan Kamuda, Sergiusz Kużel
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On Some Characterization of Generalized Representation Wave-Packet Frames Based on Some Dilation Group [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper we consider (extended) metaplectic representation of the semidirect product $G_{\mathbb{J}}=\mathbb{R}^{2d}\times\mathbb{J}$ where $\mathbb{J}$ is a closed subgroup of $Sp(d,\mathbb{R})$, the symplectic group.
Atefe Razghandi, Ali Akbar Arefijamaal
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On the Dual Frame Induced by an Invertible Frame Multiplier [PDF]
Sampling Theory in Signal and Image Processing, 2016 Recently it has been established that given an invertible frame multiplier with semi-normalized symbol, a specific dual of any of the two involved frames can be determined for the inversion purpose. The inverse can be represented as a multiplier with the reciprocal symbol, this particular dual of one of the given frames, and any dual of the other frame.
Diana T. Stoeva, Peter Balazs
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Equal-norm Parseval K-frames in Hilbert spaces with a new inequality
Journal of Inequalities and Applications, 2022 The focus of this paper is mainly on the frames of operators or K-frames on Hilbert spaces in Parseval cases. Since equal-norm tight frames play an important role for transmitting robust data, we aim to study this topic on Parseval K-frames. We find that
Vahid Sadri, Gholamreza Rahimlou
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