Results 11 to 20 of about 403,869 (278)
$p$-adic Dual Shearlet Frames [PDF]
Sahand Communications in Mathematical Analysis, 2019 We introduced the continuous and discrete $p$-adic shearlet systems. We restrict ourselves to a brief description of the $p$-adic theory and shearlets in real case.
Mahdieh Fatemidokht +1 more
doaj +1 more source
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
doaj +1 more source
Sums of A Pair of Orthogonal Frames
Mathematics, 2019 Frames are more stable as compared to bases under the action of a bounded linear operator. Sums of different frames under the action of a bounded linear operator are studied with the help of analysis, synthesis and frame operators.
Ghanshyam Bhatt
doaj +1 more source
Duality of Continuous K-g-Frames [PDF]
Sahand Communications in Mathematical Analysis, 2023 K-g-frames, as an extension of g-frames and K-frames are one of the active fields in frame theory. In this paper, we consider continuous K-g-frames which are a generalization of discrete K-g-frames.
Atefe Razghandi, Ali Akbar Arefijamaal
doaj +1 more source
, 2014 We show that any two frames in a separable Hilbert space that are dual to each other have the same excess. Some new relations for the analysis resp. synthesis operators of dual frames are also derived.
Bakić, Damir, Berić, Tomislav
core +3 more sources
Journal of Inequalities and Applications, 2019 To construct dual frames with good structure for a given frame is a fundamental problem in the theory of frames. The tensor product duals of tensor product frames can provide a rank-one decomposition of bounded antilinear operators between two Hilbert ...
Ya-Hui Wang, Yun-Zhang Li
doaj +1 more source
A Class of Weak Dual Wavelet Frames for Reducing Subspaces of Sobolev Spaces
Journal of Function Spaces, 2022 In recent years, dual wavelet frames derived from a pair of refinable functions have been widely studied by many researchers. However, the requirement of the Bessel property of wavelet systems is always required, which is too technical and artificial. In
Jianping Zhang
doaj +1 more source
Properties of finite dual fusion frames [PDF]
, 2014 A new notion of dual fusion frame has been recently introduced by the authors. In this article that notion is further motivated and it is shown that it is suitable to deal with questions posed in a finite-dimensional real or complex Hilbert space ...
Heineken, Sigrid Bettina +1 more
core +3 more sources
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
doaj +1 more source
Oversampling of wavelet frames for real dilations [PDF]
, 2012 We generalize the Second Oversampling Theorem for wavelet frames and dual wavelet frames from the setting of integer dilations to real dilations. We also study the relationship between dilation matrix oversampling of semi-orthogonal Parseval wavelet ...
Bownik, Marcin, Lemvig, Jakob
core +3 more sources