Concepedia

Fourier Decay

Fourier Decay is a mathematical phenomenon characterized by the rate at which the Fourier coefficients or Fourier transform of a function diminish in magnitude as the frequency increases, reflecting the smoothness or regularity properties of the function in the spatial or temporal domain.

34

Publications

1.8K

Citations

59

Authors

48

Institutions

Publications per year

2017–2026

12

Parents

Publications

34

Ultradifferentiable functions and Fourier analysis

Rüdiger Braun, Reinhold Meise, B. A. Taylor · Results in Mathematics · 1990 · 296 citations

, , +6

Sharp $L^2$ estimates of the Schrödinger maximal function in higher dimensions

Xiumin Du, Ruixiang Zhang · Annals of Mathematics · 2019 · 141 citations

, , +13

Fourier Amplitude Decay of Electron Cryomicroscopic Images of Single Particles and Effects on Structure Determination

Ali Saâd, Steven J. Ludtke, Joanita Jakana et al. · Journal of Structural Biology · 2001 · 106 citations

, , +15

Hardy's Theorem and the Short-Time Fourier Transform of Schwartz Functions

Karlheinz Gröchenig, Georg Zimmermann · Journal of the London Mathematical Society · 2001 · 100 citations

, , +10

A Comprehensive Study of the Observed Spectral Decay in Strong-Motion Accelerations Recorded in Guerrero, Mexico

Matthew D. Purvance · Bulletin of the Seismological Society of America · 2003 · 91 citations

, , +17

1–5 of 34

Authors

59

  1. PS
    Pablo Shmerkin

    Universidad Torcuato Di Tella, Argentina

    3 publications · 90 citations

    3

    h-index

  2. JL
    Jialun Li

    Université de Bordeaux, France

    2 publications · 40 citations

    2

    h-index

  3. VS
    Ville Suomala

    University of Oulu, Finland

    2 publications · 67 citations

    2

    h-index

  4. PP
    Péter P. Varjú

    University of Cambridge, United Kingdom

    2 publications · 23 citations

    2

    h-index

  5. LB
    Luca Brandolini

    University of Bergamo, Italy

    2 publications · 93 citations

    2

    h-index

1–5 of 59

Institutions

48

  1. University of Wisconsin–Madison

    Madison, United States

    3 h-index

    3 publications

    191 citations

  2. University of Cambridge

    Cambridge, United Kingdom

    3 h-index

    5 publications

    118 citations

  3. Consejo Nacional de Investigaciones Científicas y Técnicas

    Buenos Aires, Argentina

    3 h-index

    3 publications

    90 citations

  4. Universidad Torcuato Di Tella

    Buenos Aires, Argentina

    3 h-index

    3 publications

    90 citations

  5. University of Missouri

    Columbia, United States

    2 h-index

    3 publications

    150 citations

  6. University of Bergamo

    Bergamo, Italy

    2 h-index

    3 publications

    129 citations

  7. Universidade Federal do Rio de Janeiro

    Rio de Janeiro, Brazil

    2 h-index

    2 publications

    140 citations

  8. University of Nottingham

    Nottingham, United Kingdom

    2 h-index

    4 publications

    266 citations

1–8 of 48

Venues

  1. Analysis & PDE

    APDE · 2 publications · 47 citations

    2

    h-index

  2. Journal of the London Mathematical Society

    2 publications · 169 citations

    2

    h-index

  3. arXiv (Cornell University)

    Repository · 2 publications · 29 citations

    2

    h-index

  4. 2

    h-index

  5. Memoirs of the American Mathematical Society

    1 publications · 17 citations

    1

    h-index

1–5