Concepedia

Higher-order Fourier Analysis

Higher-Order Fourier Analysis is a systematic extension of classical Fourier analysis in additive combinatorics that studies functions on abelian groups by decomposing them into structured components correlated with polynomial phases of degree greater than one.

48

Publications

1.7K

Citations

120

Authors

79

Institutions

Publications per year

2017–2026

7

Parents

Publications

48

A Comparison of Numerical Algorithms for Fourier Extension of the First, Second, and Third Kinds

John P. Boyd · Journal of Computational Physics · 2002 · 148 citations

, , +15

Fourier path-integral Monte Carlo methods: Partial averaging

J. D. Doll, Rob D. Coalson, David L. Freeman · Physical Review Letters · 1985 · 144 citations · Full text

, , +12

Smooth Cascade of Wrinkles at the Edge of a Floating Elastic Film

Jiangshui Huang, Benny Davidovitch, Christian D. Santangelo et al. · Physical Review Letters · 2010 · 121 citations · Full text

, , +16

Higher-order split-step Fourier schemes for the generalized nonlinear Schrödinger equation

Gülçin M. Muslu, H.A. Erbay · Mathematics and Computers in Simulation · 2004 · 104 citations

, , +12

Diagnosis of broken-bars fault in induction machines using higher order spectral analysis

Lotfi Saïdi, Farhat Fnaiech, H. Henao et al. · ISA Transactions · 2012 · 93 citations

, , +12

1–5 of 48

Authors

120

  1. BS
    Balázs Szegedy

    Eötvös Loránd University, Hungary

    4 publications · 105 citations

    4

    h-index

  2. SL
    Shachar Lovett

    University of California San Diego, United States

    4 publications · 53 citations

    4

    h-index

  3. HH
    Hamed Hatami

    University of Toronto, Canada

    3 publications · 34 citations

    3

    h-index

  4. VC
    Vinod Chandran

    Queensland University of Technology, Australia

    2 publications · 40 citations

    2

    h-index

  5. SE
    Steve Elgar

    Woods Hole Oceanographic Institution, United States

    2 publications · 40 citations

    2

    h-index

1–5 of 120

Institutions

79

  1. McGill University

    Montreal, Canada

    3 h-index

    3 publications

    34 citations

  2. Washington State University

    Pullman, United States

    2 h-index

    3 publications

    70 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    3 publications

    135 citations

  4. The University of Texas at Austin

    Austin, United States

    2 h-index

    4 publications

    91 citations

  5. Paul Scherrer Institute

    Villigen, Switzerland

    2 h-index

    3 publications

    133 citations

  6. University of California San Diego

    San Diego, United States

    2 h-index

    2 publications

    30 citations

  7. Istanbul Technical University

    Istanbul, Türkiye

    1 h-index

    2 publications

    208 citations

  8. Guru Nanak Dev University

    Amritsar, India

    1 h-index

    2 publications

    52 citations

1–8 of 79

Venues

  1. arXiv (Cornell University)

    Repository · 3 publications · 91 citations

    3

    h-index

  2. IEEE Transactions on Antennas and Propagation

    2 publications · 80 citations

    2

    h-index

  3. The Journal of Chemical Physics

    2 publications · 29 citations

    2

    h-index

  4. Physical Review Letters

    PRL · 2 publications · 265 citations

    2

    h-index

  5. Japanese Journal of Applied Physics

    JJAP · 1 publications · 29 citations

    1

    h-index

1–5