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Titlebook: Harmonic Analysis and Applications; Michael Th. Rassias Book 2021 Springer Nature Switzerland AG 2021 Harmonic Analysis.trigonometric appr

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Structure and Optimisation in Computational Harmonic Analysis: On Key Aspects in Sparse Regularisatularisation and compressed sensing. The theory has matured over the last years, and it has become apparent that the success of compressed sensing in fields like magnetic resonance imaging (MRI), and imaging in general, is due to specific structures beyond just sparsity. Indeed, structured sampling a
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,The Andoni–Krauthgamer–Razenshteyn Characterization of Sketchable Norms Fails for Sketchable Metricly, with .(1) sketch size and .(1) approximation) if and only if for every . ∈ (0, 1), there exist . and an embedding . : . → .. such that . for all ., . ∈ .. The “if part” of this theorem follows from a sketching algorithm of Indyk (FOCS 2000). The contribution of AKR is therefore to demonstrate th
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Degree of Convergence of Some Operators Associated with Hardy-Littlewood Series for Functions of Cl> 1. When . tends to infinity, the results yield known results in the supremum norm studied by P. Sadangi (Sadangi, Degree of Convergence of functions in the Hölder metric, Ph.D. Thesis, Utkal University, 2006). The results of this chapter set the stage for further generalizations in other function
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Explore Intrinsic Geometry of Sleep Dynamics and Predict Sleep Stage by Unsupervised Learning Technally, we apply diffusion-based algorithms, diffusion map (DM), and alternating diffusion (AD) algorithms, to reconstruct the intrinsic geometry of sleep dynamics by reorganizing the spectral information of an electroencephalogram (EEG) extracted from a nonlinear-type time frequency analysis tool, th
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Harmonic Functions in Slabs and Half-Spaces,ion of the data with a Poisson kernel. Interestingly, the class of distributions which is convolvable with the natural Poisson kernel . for the slab is considerably wider than that which is convolvable with the classical Poisson kernel . for the half-space. We investigate this curious phenomenon and
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Michael Th. RassiasInterdisciplinary approach to harmonic analysis.Features new open problems.Introduces a variety of mathematical methods,theories, and techniques
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Springer Optimization and Its Applicationshttp://image.papertrans.cn/h/image/424261.jpg
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Brian C. Hallch as strategic thinking, decision-making, problem solving, optimization, and scenario analysis. The goal is to bring the reader closer to concrete problems and at the same time introduce key concepts and elements of programming in NetLogo to facilitate the construction of new models for different applications.
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Optimal ,, Rank One Matrix Decomposition,ies of various measures of optimality of such decompositions. For some classes of positive semidefinite matrices, we give explicitly these optimal decompositions. These classes include diagonally dominant matrices and certain of their generalizations, 2 × 2, and a class of 3 × 3 matrices.
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