Concepedia

Fredholm Theory

Fredholm Theory is a mathematical framework within operator theory that systematically studies integral equations of the second kind and their spectral properties through the analysis of compact operators and their resolvent behavior, particularly as established by Fredholm's alternative and the associated determinant theory.

3.1K

Publications

130.4K

Citations

3.9K

Authors

1.6K

Institutions

Publications per year

2017–2026

432

Parents

Publications

3.1K

Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

Chongming Yang · Physical Review Letters · 1967 · 2.4K citations

, , +14

Introduction to the Theory of Linear Non-selfadjoint Operators

Israel Gohberg · Medical Entomology and Zoology · 1969 · 1.5K citations

, , +12

An Iteration Formula for Fredholm Integral Equations of the First Kind

L. Landweber · American Journal of Mathematics · 1951 · 1.1K citations

, , +13

On the Numerical Solution of Fredholm Integral Equations of the First Kind by the Inversion of the Linear System Produced by Quadrature

S. Twomey · Journal of the ACM · 1963 · 961 citations · Full text

, , +15

Strong convergence theorems for resolvents of accretive operators in Banach spaces

Simeon Reich · Journal of Mathematical Analysis and Applications · 1980 · 709 citations

, , +13

1–5 of 3.1K

Authors

3.9K

  1. MS
    Mehmet Sezer

    Muğla University, Türkiye

    25 publications · 1.1K citations

    21

    h-index

  2. KM
    K. Maleknejad

    Iran University of Science and Technology, Iran

    30 publications · 1.3K citations

    19

    h-index

  3. HM
    H. M. Srivastava

    University of Victoria, Canada

    17 publications · 899 citations

    15

    h-index

  4. AJ
    Aref Jeribi

    University of Sfax, Tunisia

    15 publications · 488 citations

    14

    h-index

  5. YI
    Yuri I. Karlovich

    Universidad Autónoma del Estado de Morelos, Mexico

    17 publications · 347 citations

    14

    h-index

1–5 of 3.9K

Institutions

1.6K

  1. Centre National de la Recherche Scientifique

    Paris, France

    32 h-index

    106 publications

    5.1K citations

  2. Iran University of Science and Technology

    Tehran, Iran

    20 h-index

    58 publications

    2.3K citations

  3. Sorbonne Université

    Paris, France

    19 h-index

    27 publications

    1.9K citations

  4. Muğla University

    Muğla, Türkiye

    18 h-index

    35 publications

    1.2K citations

  5. University of Victoria

    Victoria, Canada

    17 h-index

    18 publications

    1.2K citations

  6. Laboratoire de Mathématiques d'Orsay

    Orsay, France

    16 h-index

    36 publications

    1.8K citations

  7. Stony Brook University

    Stony Brook, United States

    16 h-index

    29 publications

    4.3K citations

  8. University of Wisconsin–Madison

    Madison, United States

    16 h-index

    26 publications

    1.8K citations

1–8 of 1.6K

Venues

  1. Applied Mathematics and Computation

    116 publications · 4.9K citations

    38

    h-index

  2. Journal of Functional Analysis

    96 publications · 5K citations

    37

    h-index

  3. Journal of Mathematical Analysis and Applications

    122 publications · 4.5K citations

    34

    h-index

  4. Journal of Computational and Applied Mathematics

    69 publications · 2.7K citations

    31

    h-index

  5. Integral Equations and Operator Theory

    96 publications · 2.9K citations

    29

    h-index

1–5