Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science

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Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science Novel Methods in Harmonic Analysis, Volume 2 / edited by Isaac Pesenson, Quoc Thong Le Gia, Azita Mayeli, Hrushikesh Mhaskar, Ding-Xuan Zhou. -
XIV, 510 p. 81 illus., 25 illus. in color. online resource. - (Applied and Numerical Harmonic Analysis, ) Content notes : Introduction -- Characterization of Gevrey Regularity by a Class of FBI Transforms -- A Novel Mathematical Approach to the Theory of Translation Invariant Linear Systems -- Asymptotic Behaviour of the Fourier Transform of a Function of Bounded Variation -- Convergence and Regularization of Sampling Series -- Harmonic Analysis in Non-Euclidean Spaces: Theory and Application -- An Harmonic Analysis of Directed Graphs from Arithmetic Functions and Primes -- Sheaf and Duality Methods for Analyzing Multi-Model Systems -- On Boundary-Value Problems for a Partial Differential Equation with Caputo and Bessel Operator -- On the Solvability of the Zaremba Problem in Infinite Sectors and the Invertibility of Associated Singular Integral Operators -- On the Solution of the Oblique Derivative Problem by Constructive Runge-Walsh Concepts -- An Overview of Numerical Acceleration Techniques for Non-Linear Dimension Reduction -- Adaptive Density Estimation on the Circle by Nearly-Tight Frames -- Interactions between Kernels, Frames, and Persistent Homology -- Multi-Penalty Regularization for Detecting Relevant Variables -- Stable Likelihood Computation for Gaussian Random Fields. 9783319555560 * Harmonic analysis. Fourier analysis. Numerical analysis. Big data. Computer science. Abstract Harmonic Analysis. Fourier Analysis. Numerical Analysis. Big Data. Computational Science and Engineering. * Pesenson, Isaac., edt, http://id.loc.gov/vocabulary/relators/edtLe Gia, Quoc Thong., edt, http://id.loc.gov/vocabulary/relators/edtMayeli, Azita., edt, http://id.loc.gov/vocabulary/relators/edtMhaskar, Hrushikesh., edt, http://id.loc.gov/vocabulary/relators/edtZhou, Ding-Xuan., edt, http://id.loc.gov/vocabulary/relators/edt * Title * Series