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Titlebook: Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Scienc; Novel Methods in Har Isaac Pesenson,Q

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Book 2017 recent applications of harmonic analysis to function spaces, differential equations, and data science, covering topics such as:.The classical Fourier transform, the non-linear Fourier transform (FBI transform), cardinal sampling series and translation invariant linear systems..Recent results concer
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Applied and Numerical Harmonic Analysishttp://image.papertrans.cn/r/image/823083.jpg
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https://doi.org/10.1007/978-3-319-55556-0Sampling; Frames; Manifolds; Time-frequency Analysis; Space Frequency; Data Mining
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Harmonic Analysis Methods for Function Spaces, Differential Equations and Data ScienceThe objective of this chapter is to present an overview of all the core chapters in Parts II–V of the second volume and to emphasize their relations to the main theme of the volume.
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On Boundary-Value Problems for a Partial Differential Equation with Caputo and Bessel OperatorsIn this work, we investigate a unique solvability of a direct and inverse source problem for a time-fractional partial differential equation with the Caputo and Bessel operators. Using spectral expansion method, we give explicit forms of solutions to formulated problems in terms of multinomial Mittag-Leffler and first kind Bessel functions.
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Isaac Pesenson,Quoc Thong Le Gia,Ding-Xuan ZhouExhibits several recently discovered links between traditional harmonic analysis and modern ideas in areas such as Riemannian geometry and sheaf theory.Contains both deep theoretical results and innov
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Asymptotic Behavior of the Fourier Transform of a Function of Bounded Variationed to the case of several variables. For this, the initial one-dimensional result is reconsidered and refined. To even one-dimensional asymptotics and their multidimensional generalizations, a new balance operator is introduced.
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