Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science: Novel Methods in Harmonic Analysis - Couverture rigide

Livre 66 sur 88: Applied and Numerical Harmonic Analysis
 
9783319555553: Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science: Novel Methods in Harmonic Analysis
Couverture rigide
ISBN 10 : 3319555553 ISBN 13 : 9783319555553
Editeur : Birkhauser Verlag AG, 2017

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Birkhauser Verlag AG
Date d'édition
2017
Langue
anglais
ISBN 10 
3319555553
ISBN 13 
9783319555553
Reliure
Relié
Numéro d'édition
1
Nombre de pages
524
Éditeur
Pesenson Isaac, Le Gia Quoc Thong, Mayeli Azita, Mhaskar Hrushikesh, Zhou Ding-Xuan
Coordonnées du fabricant
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9783319856933: Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science: Novel Methods in Harmonic Analysis

Edition présentée

ISBN 10 :  3319856936 ISBN 13 :  9783319856933
Editeur : Birkhauser Verlag AG, 2018
Couverture souple