Concepedia

Spherical Integral Geometry

Spherical Integral Geometry is a branch of integral geometry that studies geometric invariants and their integral transforms on the sphere, distinguished by its focus on spherical symmetry and the integration of functions over submanifolds of the sphere.

77

Publications

2.7K

Citations

108

Authors

83

Institutions

Publications per year

2017–2026

6

Parents

Publications

77

Extremal Systems of Points and Numerical Integration on the Sphere

Ian H. Sloan, Robert S. Womersley · Advances in Computational Mathematics · 2004 · 209 citations

, , +9

Fast evaluation of convolution integrals on the sphere using 1D FFT, and a comparison with existing methods for Stokes’ integral

Roger Haagmans, Erik de Min, Martin von Geideren · Manuscripta geodetica. · 1993 · 154 citations

, , +14

Some Problems in Integral Geometry and Some Related Problems in Micro-Local Analysis

Victor Guillemin, Shlomo Sternberg · American Journal of Mathematics · 1979 · 148 citations

, , +14

Windspharm: A High-Level Library for Global Wind Field Computations Using Spherical Harmonics

Andrew Dawson · Journal of Open Research Software · 2016 · 131 citations · Full text

, , +15

How to Integrate A Polynomial Over A Sphere

Gerald B. Folland · American Mathematical Monthly · 2001 · 121 citations

, , +11

1–5 of 77

Authors

108

  1. AA
    Alexander A. Kilin

    Udmurt State University, Russia

    3 publications · 51 citations

    3

    h-index

  2. WH
    William H. Peirce

    2 publications · 48 citations

    2

    h-index

  3. GB
    Gerald B. Folland

    University of Washington, United States

    2 publications · 147 citations

    2

    h-index

  4. AB
    A. B. Goncharov

    Brown University, United States

    2 publications · 35 citations

    2

    h-index

  5. MŠ
    Michal Šprlák

    University of West Bohemia in Pilsen, Czechia

    2 publications · 36 citations

    2

    h-index

1–5 of 108

Institutions

83

  1. Bar-Ilan University

    Ramat Gan, Israel

    3 h-index

    4 publications

    108 citations

  2. Udmurt State University

    Izhevsk, Russia

    3 h-index

    3 publications

    51 citations

  3. University of Washington

    Seattle, United States

    2 h-index

    2 publications

    147 citations

  4. University of Arizona

    Tucson, United States

    2 h-index

    2 publications

    35 citations

  5. École Normale Supérieure de Lyon

    Lyon, France

    2 h-index

    2 publications

    137 citations

  6. Wuhan University

    Wuhan, China

    2 h-index

    4 publications

    80 citations

  7. TU Bergakademie Freiberg

    Freiberg, Germany

    2 h-index

    2 publications

    30 citations

  8. Unité de Mathématiques Pures et Appliquées

    Lyon, France

    2 h-index

    2 publications

    137 citations

1–8 of 83

Venues

  1. American Mathematical Monthly

    5 publications · 220 citations

    5

    h-index

  2. Mathematics of Computation

    MCOM · 4 publications · 120 citations

    4

    h-index

  3. Regular and Chaotic Dynamics

    RHD · 3 publications · 97 citations

    3

    h-index

  4. Advances in Mathematics

    3 publications · 66 citations

    3

    h-index

  5. Journal of Geodesy

    3 publications · 58 citations

    3

    h-index

1–5