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

Novel Methods in Harmonic Analysis, Volume 2 de

Éditeur :

Birkhäuser


Collection :

Applied and Numerical Harmonic Analysis

Paru le : 2017-08-09

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Description

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 statisticsBoundary-value problems for PDE's  including  the Runge–Walsh theorem for the oblique derivative problem of physical geodesy.
Pages
510 pages
Collection
Applied and Numerical Harmonic Analysis
Parution
2017-08-09
Marque
Birkhäuser
EAN papier
9783319555553
EAN PDF
9783319555560
Informations sur l'ebook
Nombre pages copiables
5
Nombre pages imprimables
51
Taille du fichier
9226 Ko
Prix
116,04 €
EAN EPUB
9783319555560
Informations sur l'ebook
Nombre pages copiables
5
Nombre pages imprimables
51
Taille du fichier
8059 Ko
Prix
116,04 €

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