Concepedia

Convolution Theorem

The Convolution Theorem is a fundamental theorem in harmonic analysis that states the Fourier transform of the convolution of two functions is equal to the pointwise product of their individual Fourier transforms.

1.1K

Publications

49.6K

Citations

1.6K

Authors

827

Institutions

Publications per year

2017–2026

176

Variants

Convolution Theorem Of Fourier Transforms

Parents

Publications

1.1K

Construction of correlation functions in two and three dimensions

Gregory Gaspari, Stephen E. Cohn · Quarterly Journal of the Royal Meteorological Society · 1999 · 2K citations

, , +8

Improving the full spectrum fitting method: accurate convolution with Gauss–Hermite functions

Michele Cappellari · Monthly Notices of the Royal Astronomical Society · 2016 · 1.3K citations · Full text

, , +11

Computing Fourier Transforms and Convolutions on the 2-Sphere

James R. Driscoll, D.M. Healy · Advances in Applied Mathematics · 1994 · 882 citations · Full text

, , +14

Fast fourier transform and convolution algorithms

Henri J. Nussbaumer · Mathematics and Computers in Simulation · 1981 · 687 citations · Full text

, , +13

A note on limiting cases of sobolev embeddings and convolution inequalities

Haïm Brézis, Stephen Wainger · Communications in Partial Differential Equations · 1980 · 525 citations

, , +7

1–5 of 1.1K

Authors

1.6K

  1. HM
    H. M. Srivastava

    University of Victoria, Canada

    20 publications · 717 citations

    15

    h-index

  2. SP
    Saminathan Ponnusamy

    Indian Institute of Technology Madras, India

    12 publications · 321 citations

    11

    h-index

  3. MD
    Maslina Darus

    National University of Malaysia, Malaysia

    11 publications · 175 citations

    10

    h-index

  4. DS
    David Skoug

    University of Nebraska–Lincoln, United States

    10 publications · 336 citations

    10

    h-index

  5. DM
    Daniel M. Oberlin

    Florida State University, United States

    9 publications · 228 citations

    9

    h-index

1–5 of 1.6K

Institutions

827

  1. University of Victoria

    Victoria, Canada

    14 h-index

    18 publications

    660 citations

  2. University of California, Berkeley

    Berkeley, United States

    12 h-index

    14 publications

    487 citations

  3. Beijing Institute of Technology

    Beijing, China

    12 h-index

    25 publications

    1.2K citations

  4. National University of Malaysia

    Bangi, Malaysia

    10 h-index

    13 publications

    174 citations

  5. UNSW Sydney

    Sydney, Australia

    10 h-index

    10 publications

    234 citations

  6. University of Nebraska–Lincoln

    Lincoln, United States

    9 h-index

    14 publications

    585 citations

  7. University of California, Los Angeles

    Los Angeles, United States

    8 h-index

    10 publications

    215 citations

  8. Centre National de la Recherche Scientifique

    Paris, France

    8 h-index

    10 publications

    385 citations

1–8 of 827

Venues

  1. Pacific Journal of Mathematics

    33 publications · 1.4K citations

    25

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 28 publications · 1.7K citations

    19

    h-index

  3. 18

    h-index

  4. Proceedings of the American Mathematical Society

    PROC · 28 publications · 1.3K citations

    16

    h-index

  5. Integral Transforms and Special Functions

    24 publications · 984 citations

    15

    h-index

1–5