Concepedia

Harmonic Analysis On Groups

Harmonic Analysis On Groups is a mathematical framework that extends classical harmonic analysis to topological groups by studying the decomposition of functions on groups into irreducible unitary representations, thereby generalizing Fourier analysis to non-commutative and symmetric structures.

335

Publications

23.6K

Citations

396

Authors

250

Institutions

Publications per year

2017–2026

18

Variants

Abstract Harmonic Analysis

Parents

Publications

335

An Introduction to Harmonic Analysis.

Guido Weiss, Yitzhak Katznelson · American Mathematical Monthly · 1970 · 1.7K citations

, , +14

Differential-difference operators associated to reflection groups

Charles F. Dunkl · Transactions of the American Mathematical Society · 1989 · 1.2K citations · Full text

, , +12

Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series

Atle Selberg · Journal of the Indian Mathematical Society · 1956 · 994 citations

, , +11

A Report on Harmonic Maps

J. Eells, L. Lemaire · Bulletin of the London Mathematical Society · 1978 · 976 citations

, , +5

A regularity theory for harmonic maps

Karen Uhlenbeck · Journal of Differential Geometry · 1982 · 677 citations · Full text

, , +12

1–5 of 335

Authors

396

  1. GO
    Grigori Olshanski

    Institute for Information Transmission Problems, Russia

    6 publications · 411 citations

    6

    h-index

  2. FR
    Fulvio Ricci

    Politecnico di Torino, Italy

    6 publications · 639 citations

    6

    h-index

  3. CF
    Charles F. Dunkl

    University of Virginia, United States

    5 publications · 1.9K citations

    5

    h-index

  4. AB
    Alexei Borodin

    California Institute of Technology, United States

    5 publications · 317 citations

    5

    h-index

  5. EM
    E. M. Stein

    Princeton University, United States

    5 publications · 540 citations

    5

    h-index

1–5 of 396

Institutions

250

  1. University of Illinois Urbana-Champaign

    Urbana, United States

    6 h-index

    6 publications

    186 citations

  2. Politecnico di Torino

    Turin, Italy

    6 h-index

    9 publications

    1K citations

  3. Institute for Information Transmission Problems

    Moscow, Russia

    5 h-index

    6 publications

    456 citations

  4. Kyoto University

    Kyoto, Japan

    5 h-index

    5 publications

    404 citations

  5. Centre National de la Recherche Scientifique

    Paris, France

    5 h-index

    7 publications

    387 citations

  6. Institute for Advanced Study

    Princeton, United States

    5 h-index

    5 publications

    1.4K citations

  7. University of Maryland, College Park

    College Park, United States

    5 h-index

    6 publications

    621 citations

  8. Stanford University

    Stanford, United States

    4 h-index

    5 publications

    2.8K citations

1–8 of 250

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 22 publications · 2.1K citations

    16

    h-index

  2. Journal of Functional Analysis

    18 publications · 1.3K citations

    15

    h-index

  3. Pacific Journal of Mathematics

    14 publications · 629 citations

    13

    h-index

  4. Annals of Mathematics

    10 publications · 1.3K citations

    10

    h-index

  5. ArXiv.org

    Repository · 9 publications · 301 citations

    9

    h-index

1–5