Results 21 to 30 of about 403,869 (278)
Some results on frames by pre-frame operators in Q-Hilbert spaces
AIMS Mathematics, 2023 Quaternionic Hilbert (Q-Hilbert) spaces are frequently used in applied physical sciences and especially in quantum physics. In order to solve some problems of many nonlinear physical systems, the frame theory of Q-Hilbert spaces was studied.
Yan Ling Fu , Wei Zhang
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EVALUATION OF DUAL SYSTEMS WITH MOMENT-RESISTING FRAME AND SHEAR LINK FRAME \ [PDF]
مهندسی عمران شریف, 2022 This paper puts forward a new dual system to dissipate energy and presents its numerical studies. Though moment-resisting frames have a good ductility performance, they suffer low stiffness; as a matter of fact, engineers try to increase the stiffness by
F. Mahmoudi, A.R. Rahai, F. Hatami
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Optimal Dual Frames for Probabilistic Erasures
IEEE Access, 2019 Assume that a frame is given for encoding in a communication system. J. Leng et al. investigated its dual frames for signal decoding which minimize the maximal error when the probabilistic erasures occur in the transmission process.
Dongwei Li, Jinsong Leng, Miao He
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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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Characterization, Dilation, and Perturbation of Basic Continuous Frames
Journal of Mathematics, 2022 A vector-valued function is called a basic continuous frame if it is a continuous frame for its spanning space. It is shown in this article that basic continuous frames and their oblique duals can be characterized by operators with closed ranges ...
Xin Zhao, Pengtong Li
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Co-compact Gabor systems on locally compact abelian groups [PDF]
, 2015 In this work we extend classical structure and duality results in Gabor analysis on the euclidean space to the setting of second countable locally compact abelian (LCA) groups.
Jakobsen, Mads Sielemann, Lemvig, Jakob
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A Note on Some Results for $C$-controlled $K$-Fusion Frames in Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this manuscript, we study the relation between K-fusion frame and its local components which leads to the definition of a $C$-controlled $K$-fusion frames, also we extend a theory based on K-fusion frames on Hilbert spaces, which prepares exactly the ...
Habib Shakoory +3 more
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Construction of Scaling Partitions of Unity
Frontiers in Applied Mathematics and Statistics, 2017 Partitions of unity in ℝd formed by (matrix) scales of a fixed function appear in many parts of harmonic analysis, e.g., wavelet analysis and the analysis of Triebel-Lizorkin spaces.
Ole Christensen, Say Song Goh
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Some Properties of Controlled K-g-Frames in Hilbert C∗-Modules
International Journal of Analysis and Applications, 2022 This paper is devoted to studying the controlled K-g-frames in Hilbert C∗-modules, some useful results are presented. Also, the concept of controlled K-g-dual frames is given. Finally, we discuss the stability problem for controlled K-g-frames in Hilbert
Rachid Echarghaoui +3 more
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Explicit constructions and properties of generalized shift-invariant systems in $L^2(\mathbb{R})$ [PDF]
, 2016 Generalized shift-invariant (GSI) systems, originally introduced by Hern\'andez, Labate & Weiss and Ron & Shen, provide a common frame work for analysis of Gabor systems, wavelet systems, wave packet systems, and other types of structured function ...
Christensen, Ole +2 more
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