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

Novel Methods in Harmonic Analysis, Volume 2

Collectif

Birkhäuser
Collection: Applied and Numerical Harmonic Analysis
Publication date : 2017-08-09

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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.

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About the book

Author

Collectif

Imprint

Birkhäuser

Collection

Applied and Numerical Harmonic Analysis

Publication date

2017-08-09

Pages

510 pages

Print ISBN

9783319555553

Language

English

Ebook informations

EAN PDF

9783319555560

Price

£109.50

Copy count 5

Print count 51

File size 9226 Ko

Informations accessibility

EAN EPUB

9783319555560

Price

£109.50

Copy count 5

Print count 51

File size 8059 Ko

Informations accessibility

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