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Novel Methods in Harmonic Analysis

  • Book
  • © 2017


  • Exhibits several recently discovered links between traditional harmonic analysis and modern ideas in areas such as Riemannian geometry and sheaf theory
  • Contains both deep theoretical results and innovative applications to various fields such as medical imagine and data science
  • Only publication of its kind extending classical harmonic analysis to manifolds, graphs, and other general structures
  • Comprised of original research and survey papers from well-known experts

Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)

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  • Sampling
  • Frames
  • Manifolds
  • Time-frequency Analysis
  • Space Frequency
  • Data mining

About this book

Volume I:

Volume II: 

A two volume set on novel methods in harmonic analysis, these books draw 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. 

Editors and Affiliations

  • Temple University, Philadelphia, USA

    Isaac Pesenson

  • Mathematics, University of New South Wales, Sydney, Australia

    Quoc Thong Le Gia

  • Queensborough Community College, Dept. Math 245 Queensborough Community College, Oakland Gardens, USA

    Azita Mayeli

  • Claremont Graduate Univ, Claremont, USA

    Hrushikesh Mhaskar

  • Department of Mathematics, City University of Hong Kong, Kowloon Tong, Hong Kong

    Ding-Xuan Zhou

Bibliographic Information

  • Book Title: Novel Methods in Harmonic Analysis

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

  • Series Title: Applied and Numerical Harmonic Analysis

  • Publisher: Birkhäuser Cham

  • Copyright Information: Springer International Publishing AG 2017

  • Series ISSN: 2296-5009

  • Series E-ISSN: 2296-5017

  • Edition Number: 1

  • Number of Pages: VIII, 838

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