Concepedia

Bochner's Theorem

Bochner's Theorem is a foundational result in harmonic analysis that characterizes the Fourier transform of a probability measure on Euclidean space as a continuous positive-definite function, thereby establishing a one-to-one correspondence between such measures and normalized positive-definite functions.

634

Publications

28.5K

Citations

867

Authors

480

Institutions

Publications per year

2017–2026

60

Parents

Publications

634

A Course in Functional Analysis.

T. W. Gamelin, John B. Conway · American Mathematical Monthly · 1986 · 2.4K citations

, , +7

A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION

M. Rosenblatt · Proceedings of the National Academy of Sciences · 1956 · 1.4K citations · Full text

, , +10

Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals

Tomonari Suzuki · Journal of Mathematical Analysis and Applications · 2005 · 625 citations

, , +7

<i>Harmonic Analysis and the Theory of Probability</i>

Salomon Bochner, T. Teichmann · Physics Today · 1956 · 570 citations

, , +11

Finiteness Theorems for Riemannian Manifolds

Jeff Cheeger · American Journal of Mathematics · 1970 · 406 citations

, , +14

1–5 of 634

Authors

867

  1. WM
    Witold M. Bogdanowicz

    Catholic University of America, United States

    6 publications · 141 citations

    6

    h-index

  2. SL
    Sanghyuk Lee

    Seoul National University, South Korea

    5 publications · 209 citations

    5

    h-index

  3. LY
    Lixin Yan

    Sun Yat-sen University, China

    5 publications · 127 citations

    5

    h-index

  4. SS
    Sever S Dragomir

    Victoria University, Australia

    5 publications · 157 citations

    5

    h-index

  5. AC
    Anthony Carbery

    University of Edinburgh, United Kingdom

    5 publications · 192 citations

    5

    h-index

1–5 of 867

Institutions

480

  1. Centre National de la Recherche Scientifique

    Paris, France

    12 h-index

    21 publications

    545 citations

  2. Beijing Normal University

    Beijing, China

    10 h-index

    18 publications

    657 citations

  3. Kyoto University

    Kyoto, Japan

    8 h-index

    11 publications

    471 citations

  4. University of Wisconsin–Madison

    Madison, United States

    7 h-index

    7 publications

    408 citations

  5. Universidad Autónoma de Madrid

    Madrid, Spain

    7 h-index

    8 publications

    286 citations

  6. University of Bonn

    Bonn, Germany

    6 h-index

    9 publications

    986 citations

  7. Seoul National University

    Seoul, South Korea

    6 h-index

    8 publications

    207 citations

  8. Universidad Carlos III de Madrid

    Madrid, Spain

    6 h-index

    7 publications

    323 citations

1–8 of 480

Venues

  1. Journal of Functional Analysis

    32 publications · 1.1K citations

    21

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 40 publications · 1.5K citations

    19

    h-index

  3. Journal of Mathematical Analysis and Applications

    28 publications · 1.3K citations

    17

    h-index

  4. Proceedings of the American Mathematical Society

    PROC · 19 publications · 496 citations

    15

    h-index

  5. Pacific Journal of Mathematics

    16 publications · 433 citations

    14

    h-index

1–5