Results 1 to 10 of about 403,869 (278)
Solving Einstein's Equations With Dual Coordinate Frames [PDF]
, 2006 A method is introduced for solving Einstein's equations using two distinct coordinate systems. The coordinate basis vectors associated with one system are used to project out components of the metric and other fields, in analogy with the way fields are ...
E. D. Sontag +8 more
core +5 more sources
Regularity of Dual Gabor Windows [PDF]
Abstract and Applied Analysis, 2013 We present a construction of dual windows associated with Gabor frames with compactly supported windows. The size of the support of the dual windows is comparable to that of the given window.
Ole Christensen +2 more
doaj +4 more sources
Robust dual reconstruction systems and fusion frames [PDF]
, 2011 We study the duality of reconstruction systems, which are g-frames in a finite dimensional setting. These systems allow redundant linear encoding-decoding schemes implemented by the so-called dual reconstruction systems. We are particularly interested in
Massey, Pedro Gustavo +2 more
core +4 more sources
A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces [PDF]
Journal of Inequalities and Applications, 2016 In recent years, nonhomogeneous wavelet frames have attracted some mathematicians’ interest. This paper investigates such problems in a Sobolev space setting. A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces pairs is obtained.
Jian-Ping Zhang, Yun-Zhang Li
doaj +2 more sources
Adaptive Optimal Dual Frames for Signal Reconstruction With Erasures
IEEE Access, 2016 Optimal frames have been used in signal processing to minimize the reconstruction errors when erasures occurred during the frame coefficient transmission, and much of the recent work has been focused either on characterizations or on the constructions of
Qianping Guo +5 more
doaj +2 more sources
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
doaj +1 more source
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
doaj +1 more source
Continuous $k$-Fusion Frames in Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2020 The study of the c$k$-fusions frames shows that the emphasis on the measure spaces introduces a new idea, although some similar properties with the discrete case are raised. Moreover, due to the nature of measure spaces, we have to use new techniques for
Vahid Sadri +3 more
doaj +1 more source
$G$-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
doaj +1 more source
Controlled g-frames and dual g-frames in Hilbert spaces
Journal of Inequalities and Applications, 2023 As generalizations of g-frames and controlled frames, the theory of controlled g-frames has been deeply studied. This paper addresses the controlled g-frames and dual g-frames in Hilbert spaces.
Hui-Min Liu, Yan-Ling Fu, Yu Tian
doaj +1 more source