Concepedia

Plancherel Theorem

Plancherel Theorem is a fundamental result in harmonic analysis that establishes an isometric isomorphism between the space of square-integrable functions and the space of their Fourier transforms, preserving the L²-norm.

182

Publications

8.2K

Citations

217

Authors

164

Institutions

Publications per year

2017–2026

22

Variants

Plancherel's Theorem

Parents

Publications

182

A Proof of Langlands' Conjecture on Plancherel Measures; Complementary Series of -adic groups

Freydoon Shahidi · Annals of Mathematics · 1990 · 592 citations

, , +9

Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations

Terence Tao · American Journal of Mathematics · 2001 · 395 citations · Full text

, , +11

Plancherel-type estimates and sharp spectral multipliers

Xuan Thinh Duong, El Maati Ouhabaz, Adam Sikora · Journal of Functional Analysis · 2002 · 276 citations

, , +11

Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n)

Freydoon Shahidi · American Journal of Mathematics · 1984 · 210 citations

, , +13

Mathematical Aspects of the Weyl Correspondence

James C. T. Pool · Journal of Mathematical Physics · 1966 · 208 citations

, , +17

1–5 of 182

Authors

217

  1. JA
    Joseph A. Wolf

    University of California, Berkeley, United States

    5 publications · 284 citations

    5

    h-index

  2. RL
    Ronald L. Lipsman

    University of Maryland, College Park, United States

    4 publications · 93 citations

    4

    h-index

  3. EP
    Erik P. van den Ban

    Utrecht University, Netherlands

    4 publications · 183 citations

    4

    h-index

  4. RC
    Roberto Camporesi

    Politecnico di Torino, Italy

    4 publications · 333 citations

    4

    h-index

  5. HH
    Harish-chandra Harish-Chandra

    Columbia University, United States

    4 publications · 217 citations

    4

    h-index

1–5 of 217

Institutions

164

  1. Centre National de la Recherche Scientifique

    Paris, France

    5 h-index

    5 publications

    156 citations

  2. University of Chicago

    Chicago, United States

    4 h-index

    4 publications

    442 citations

  3. Tunis University

    Tunis, Tunisia

    4 h-index

    8 publications

    342 citations

  4. Utrecht University

    Utrecht, The Netherlands

    3 h-index

    3 publications

    98 citations

  5. University of Vienna

    Vienna, Austria

    3 h-index

    3 publications

    40 citations

  6. Princeton University

    Princeton, United States

    3 h-index

    4 publications

    198 citations

  7. University of Copenhagen

    Copenhagen, Denmark

    3 h-index

    3 publications

    86 citations

  8. Tunis El Manar University

    Tunis, Tunisia

    3 h-index

    6 publications

    204 citations

1–8 of 164

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 13 publications · 560 citations

    11

    h-index

  2. Annals of Mathematics

    6 publications · 1K citations

    6

    h-index

  3. Proceedings of the American Mathematical Society

    PROC · 6 publications · 181 citations

    6

    h-index

  4. Pacific Journal of Mathematics

    6 publications · 185 citations

    6

    h-index

  5. American Journal of Mathematics

    5 publications · 668 citations

    5

    h-index

1–5