Results 11 to 20 of about 161,013 (263)
Characterization of Oblique Dual Frame Pairs [PDF]
EURASIP Journal on Advances in Signal Processing, 2006 Given a frame for a subspace of a Hilbert space , we consider all possible families of oblique dual frame vectors on an appropriately chosen subspace .
Christensen Ole, Eldar Yonina C
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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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Archiv der Mathematik, 2014 The definition of dual fusion frame presents technical problems related to the domain of the synthesis operator. The notion commonly used is the analogous to the canonical dual frame. Here a new concept of dual is studied in infinite-dimensional separable Hilbert spaces. It extends the commonly used notion and overcomes these technical difficulties. We
Heineken, Sigrid Bettina +3 more
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Oblique Dual Fusion Frames [PDF]
Numerical Functional Analysis and Optimization, 2018 We introduce and develop the concept of oblique duality for fusion frames. This concept provides a mathematical framework to deal with problems in distributed signal processing where the signals, considered as elements in a Hilbert space and under certain consistency requirements, are analyzed in one subspace and are reconstructed in another subspace.
Heineken, Sigrid Bettina +1 more
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Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 2010 Summary: Serret-Frenet and parallel-transport frame are produced with the help of reel quaternions again by \textit{A. J. Hanson} [Quaternion Frenet frames: making optimal tubes and ribbons from curves (1994)]. In this study, calculations mentioned above are applied to dual quaternions and the Serret-Frenet and parallel-transport frame are obtained by ...
ÖZTÜRK, Ufuk +3 more
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Involve, a Journal of Mathematics, 2013 The concept of frames in a Banach space has been introduced by Grochenig and developed by several authors. The main feature of a frame is to present every element of the underlying Banach space as a norm-convergent series. In this decomposition, the dual frame plays an essential role. The existence of a dual p-frame is not guaranteed in general.
Arefijamaal, Ali, Mohammadkhani, Leili
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Approximate oblique dual frames
Applied Mathematics and Computation, 2023 In representations using frames, oblique duality appears in situations where the analysis and the synthesis has to be done in different subspaces. In some cases, we cannot obtain an explicit expression for the oblique duals and in others there exists only one oblique dual frame which has not the properties we need.
Jorge P. Díaz +2 more
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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
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Frames generated by double sequences in Hilbert spaces [PDF]
Mathematica Moravica, 2023 In this paper, we introduce frames generated by double sequences (d-frame) in Hilbert spaces and describe some of their properties. Furthermore, we discuss frame operators, alternate dual frames and stability for d-frames.
Biswas Narendra +2 more
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Subspace mixed rational time-frequency multiwindow Gabor frames and their Gabor duals
Journal of Inequalities and Applications, 2018 For a usual multiwindow Gabor system, all windows share common time-frequency shifts. A mixed multiwindow Gabor system is one of its generalizations, for which time-frequency shifts vary with the windows.
Yan Zhang, Yun-Zhang Li
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