Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science: Novel Methods in Harmonic Analysis, Volume 2 (2Hardcover - 2017, 29 August 2017

Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science: Novel Methods in Harmonic Analysis, Volume 2 (2
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Part of Series
Applied and Numerical Harmonic Analysis
Print Length
510 pages
Language
English
Publisher
Birkhauser
Date Published
29 Aug 2017
ISBN-10
3319555553
ISBN-13
9783319555553

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 statistics
  • Boundary-value problems for PDE's including the Runge-Walsh theorem for the oblique derivative problem of physical geodesy.

Product Details

Book Edition:
2017
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
29 August 2017
Dimensions:
23.39 x 15.6 x 2.87 cm
ISBN-10:
3319555553
ISBN-13:
9783319555553
Language:
English
Location:
Cham
Pages:
510
Publisher:
Birkhauser
Weight:
907.18 gm

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