Concepedia

Operator Semigroups

Operator Semigroups is a mathematical framework in functional analysis consisting of a one-parameter family of bounded linear operators on a Banach space that satisfies the semigroup property and strong continuity, distinguishing it from general operator families through its role in modeling time evolution in linear dynamical systems, quantum processes, and partial differential equations.

3.3K

Publications

136.8K

Citations

3.6K

Authors

1.5K

Institutions

Publications per year

2017–2026

307

Variants

Semigroups Of Operators

Parents

Publications

3.3K

Markov Processes: Characterization and Convergence.

Andris Abakuks, S. N. Ethier, Thomas G. Kurtz · Biometrics · 1987 · 4.5K citations

, , +16

One-parameter semigroups for linear evolution equations

Klaus‐Jochen Engel, Rainer Nagel · Semigroup Forum · 2001 · 3.5K citations

, , +9

Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps

Ronald R. Coifman, Stéphane Lafon, A. B. Lee et al. · Proceedings of the National Academy of Sciences · 2005 · 1.8K citations · Full text

, , +14

Estimates for translation invariant operators in Lp spaces

Lars Hörmander · Acta Mathematica · 1960 · 1.4K citations · Full text

, , +6

Families of OWA operators

Ronald R. Yager · Fuzzy Sets and Systems · 1993 · 1.2K citations

, , +8

1–5 of 3.3K

Authors

3.6K

  1. JC
    J. C. Rosales

    Universidad de Granada, Spain

    26 publications · 676 citations

    19

    h-index

  2. WT
    Wataru Takahashi

    Tokyo Institute of Technology, Japan

    23 publications · 1.7K citations

    18

    h-index

  3. FW
    Feng‐Yu Wang

    Beijing Normal University, China

    21 publications · 1.1K citations

    18

    h-index

  4. SR
    Simeon Reich

    Technion – Israel Institute of Technology, Israel

    25 publications · 2K citations

    18

    h-index

  5. CJ
    C. J. K. Batty

    University of Oxford, United Kingdom

    17 publications · 998 citations

    14

    h-index

1–5 of 3.6K

Institutions

1.5K

  1. University of Tübingen

    Tübingen, Germany

    25 h-index

    75 publications

    2.6K citations

  2. Institute of Mathematics

    Warsaw, Poland

    25 h-index

    85 publications

    3.6K citations

  3. Beijing Normal University

    Beijing, China

    23 h-index

    55 publications

    2.2K citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    22 h-index

    80 publications

    2.5K citations

  5. Bielefeld University

    Bielefeld, Germany

    20 h-index

    37 publications

    1.7K citations

  6. University of California, Berkeley

    Berkeley, United States

    20 h-index

    36 publications

    1.6K citations

  7. Polish Academy of Sciences

    Warsaw, Poland

    20 h-index

    36 publications

    2K citations

  8. Tokyo Institute of Technology

    Tokyo, Japan

    20 h-index

    47 publications

    3.4K citations

1–8 of 1.5K

Venues

  1. Journal of Functional Analysis

    189 publications · 10K citations

    51

    h-index

  2. Journal of Mathematical Analysis and Applications

    164 publications · 8.4K citations

    43

    h-index

  3. Semigroup Forum

    218 publications · 9.1K citations

    35

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 85 publications · 4.3K citations

    32

    h-index

  5. Pacific Journal of Mathematics

    63 publications · 4.1K citations

    30

    h-index

1–5