Skip to main content
Book cover
  • Book
  • © 2017

Novel Methods in Harmonic Analysis

Birkhäuser

Editors:

  1. Isaac Pesenson

    1. Temple University, Philadelphia, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Quoc Thong Le Gia

    1. Mathematics, University of New South Wales, Sydney, Australia

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Azita Mayeli

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

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  4. Hrushikesh Mhaskar

    1. Claremont Graduate Univ, Claremont, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  5. Ding-Xuan Zhou

    1. Department of Mathematics, City University of Hong Kong, Kowloon Tong, Hong Kong

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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)

Hardcover Book USD 229.99
Price excludes VAT (USA)
Learn about institutional subscriptions

About this book

Volume I:  http://www.springer.com/book/9783319555492

Volume II: http://www.springer.com/book/9783319555553 

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. 
Back to top

Keywords

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

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

Back to top

Bibliographic Information

Back to top
Hardcover Book USD 229.99
Price excludes VAT (USA)
Learn about institutional subscriptions