Concepedia

Poisson Integral Formula

The Poisson Integral Formula is a mathematical expression in complex analysis that represents the harmonic function inside a disk as an integral of the boundary values weighted by the Poisson kernel, thereby solving the Dirichlet problem for the unit disk.

339

Publications

23.8K

Citations

457

Authors

277

Institutions

Publications per year

2017–2026

47

Parents

Publications

339

Real and Complex Analysis.

G. A. Garreau, Walter Rudin · Journal of the Royal Statistical Society Series D (The Statistician) · 1987 · 11K citations

, , +16

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 Poisson Formula for Semi-Simple Lie Groups

Harry Furstenberg · Annals of Mathematics · 1963 · 453 citations

, , +15

Deep learning for undersampled MRI reconstruction

Physics in Medicine and Biology · 2018 · 412 citations · Full text

, , +17

Numerical Computation of the Schwarz–Christoffel Transformation

Lloyd N. Trefethen · SIAM Journal on Scientific and Statistical Computing · 1980 · 270 citations

, , +15

1–5 of 339

Authors

457

  1. YI
    Yu. I. Kharkevych

    Lesya Ukrainka Volyn National University, Ukraine

    16 publications · 456 citations

    16

    h-index

  2. IK
    Inna Kal’chuk

    Lesya Ukrainka Volyn National University, Ukraine

    9 publications · 215 citations

    9

    h-index

  3. KM
    K. M. Zhyhallo

    Lesya Ukrainka Volyn National University, Ukraine

    5 publications · 105 citations

    5

    h-index

  4. UZ
    Ulyana Z. Hrabova

    Lesya Ukrainka Volyn National University, Ukraine

    5 publications · 74 citations

    5

    h-index

  5. AK
    Adam Korányi

    Lehman College, United States

    5 publications · 266 citations

    5

    h-index

1–5 of 457

Institutions

277

  1. Lesya Ukrainka Volyn National University

    Lutsk, Ukraine

    17 h-index

    40 publications

    920 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    7 h-index

    11 publications

    475 citations

  3. Wrocław University of Science and Technology

    Wroclaw, Poland

    6 h-index

    10 publications

    368 citations

  4. University of Wisconsin–Madison

    Madison, United States

    4 h-index

    4 publications

    91 citations

  5. Institute of Physics

    Warsaw, Poland

    4 h-index

    9 publications

    603 citations

  6. State Agrarian University of Moldova

    Chisinau, Moldova

    4 h-index

    4 publications

    48 citations

  7. University of Silesia in Katowice

    Katowice, Poland

    4 h-index

    9 publications

    603 citations

  8. Czech Academy of Sciences, Institute of Mathematics

    Prague, Czechia

    4 h-index

    5 publications

    81 citations

1–8 of 277

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 20 publications · 873 citations

    15

    h-index

  2. Ukrainian Mathematical Journal

    14 publications · 291 citations

    11

    h-index

  3. Annals of Mathematics

    10 publications · 1.1K citations

    10

    h-index

  4. Pacific Journal of Mathematics

    9 publications · 256 citations

    9

    h-index

  5. Journal of Mathematical Sciences

    7 publications · 131 citations

    7

    h-index

1–5