Results 1 to 10 of about 160,864 (119)
Characterizations of the dilation of frame generator dual pairs for group
Journal of Inequalities and Applications, 2019 In this paper, we are interested in the dilation problem on frame generator dual pairs for a unitary representation in Hilbert spaces. We show the existence of a Riesz generator dilation dual pair of a frame generator dual pair in Hilbert spaces. Then we
Liang Li, Pengtong Li
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Introduction of Frame in Tensor Product of $n$-Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2021 We study the concept of frame in tensor product of $n$-Hilbert spaces as tensor product of $n$-Hilbert spaces is again an $n$-Hilbert space. We generalize some of the known results about bases to frames in this new Hilbert space.
Prasenjit Ghosh, Tapas Samanta
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Gabor Dual Frames with Characteristic Function Window [PDF]
Sahand Communications in Mathematical Analysis, 2021 The duals of Gabor frames have an essential role in reconstruction of signals. In this paper we find a necessary and sufficient condition for two Gabor systems $\left(\chi_{\left[c_1,d_1\right)},a,b\right)$ and $\left(\chi_{\left[c_2,d_2\right)},a,b ...
Mohammad Ali Hasankhani Fard
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Duals of Some Constructed $*$-Frames by Equivalent $*$-Frames [PDF]
Sahand Communications in Mathematical Analysis, 2019 Hilbert frames theory have been extended to frames in Hilbert $C^*$-modules. The paper introduces equivalent $*$-frames and presents ordinary duals of a constructed $*$-frame by an adjointable and invertible operator.
Azadeh Alijani
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Similar generalized frames [PDF]
Sahand Communications in Mathematical Analysis, 2018 Generalized frames are an extension of frames in Hilbert spaces and Hilbert $C^*$-modules. In this paper, the concept ''Similar" for modular $g$-frames is introduced and all of operator duals (ordinary duals) of similar $g$-frames with respect to each ...
Azadeh Alijani
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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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SOME IDENTITIES AND INEQUALITIES FOR G-FUSION FRAMES
Проблемы анализа, 2020 G-fusion frames, which are obtained from the combination of g-frames and fusion frames, were recently introduced for Hilbert spaces. In this paper, we present a new identity for gframes, which was given by Najati for a special case.
R. Zarghami Farfar, V. Sadri, R. Ahmadi
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Characterization and stability of approximately dual g-frames in Hilbert spaces
Journal of Inequalities and Applications, 2018 This paper addresses approximately dual g-frames. First, we establish a connection between approximately dual g-frames and dual g-frames and obtain a characterization of approximately dual g-frames.
Yan-Ling Fu, Wei Zhang
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Dilation-and-modulation systems on the half real line
Journal of Inequalities and Applications, 2016 Translation, dilation, and modulation are fundamental operations in wavelet analysis. Affine frames based on translation-and-dilation operation and Gabor frames based on translation-and-modulation operation have been extensively studied and seen great ...
Yun-Zhang Li, Wei Zhang
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$G$-dual Frames in Hilbert $C^{*}$-module Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper, we introduce the concept of $g$-dual frames for Hilbert $C^{*}$-modules, and then the properties and stability results of $g$-dual frames are given.
Fatemeh Ghobadzadeh, Abbas Najati
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