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

Novel Methods in Harmonic Analysis, Volume 2

Autor: Quoc Thong Le Gia, Azita Mayeli, Hrushikesh Mhaskar, Isaac Pesenson, Ding-Xuan Zhou

Limbă:

Legare: Carte broșată

Editura: Birkhauser

Disponibilitate: În depozitul extern

Expediem în 5-8 zile

662.58 lei

The second of a two volume set on novel methods in harmonic analysis, this book draws on a number of...

Informații despre carte

Autor

Quoc Thong Le Gia, Azita Mayeli, Hrushikesh Mhaskar, Isaac Pesenson, Ding-Xuan Zhou

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2018

Pagini

510

EAN

9783319856933

Enbook ID

21374601

Editura

Birkhauser

Greutate

795

Dimensiuni

155 x 235 x 29

Descriere completă

The second of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many deep theoretical results, these volumes contain numerous applications to problems in signal processing, medical imaging, geodesy, statistics, and data science. The chapters within cover an impressive range of ideas from both traditional and modern harmonic analysis, such as: the Fourier transform, Shannon sampling, frames, wavelets, functions on Euclidean spaces, analysis on function spaces of Riemannian and sub-Riemannian manifolds, Fourier analysis on manifolds and Lie groups, analysis on combinatorial graphs, sheaves, co-sheaves, and persistent homologies on topological spaces. Volume II is organized around the theme of 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 concerning harmonic analysis on non-Euclidean spaces such as graphs and partially ordered sets. Applications of harmonic analysis to data science and statistics Boundary-value problems for PDE's including the Runge-Walsh theorem for the oblique derivative problem of physical geodesy.