Concepedia

Spectral Decomposition

Spectral Decomposition is a mathematical method in operator theory that uniquely represents a normal operator on a Hilbert space as an integral of projection-valued measures with respect to its spectrum.

2.3K

Publications

117.5K

Citations

4.5K

Authors

1.6K

Institutions

Publications per year

2017–2026

399

Parents

Publications

2.3K

A generalized inverse for matrices

Roger Penrose · Mathematical Proceedings of the Cambridge Philosophical Society · 1955 · 4.5K citations · Full text

, , +12

Wavelets on graphs via spectral graph theory

David K. Hammond, Pierre Vandergheynst, Rémi Gribonval · Applied and Computational Harmonic Analysis · 2010 · 2.2K citations · Full text

, , +16

Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis

Journal of Fluid Mechanics · 2018 · 1.3K citations · Full text

, , +15

Spectral Properties of Dynamical Systems, Model Reduction and Decompositions

Igor Mezić · Nonlinear Dynamics · 2005 · 1.3K citations

, , +15

A confidence limit for the empirical mode decomposition and Hilbert spectral analysis

Norden E. Huang, Man‐Li C. Wu, Steven Long et al. · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 2003 · 1.2K citations

, , +13

1–5 of 2.3K

Authors

4.5K

  1. AJ
    Aref Jeribi

    University of Sfax, Tunisia

    13 publications · 434 citations

    13

    h-index

  2. JP
    John P. Castagna

    University of Houston, United States

    12 publications · 1.2K citations

    12

    h-index

  3. KJ
    Kurt J. Marfurt

    University of Oklahoma, United States

    10 publications · 704 citations

    10

    h-index

  4. EB
    Earl Berkson

    University of Illinois Urbana-Champaign, United States

    9 publications · 309 citations

    9

    h-index

  5. TA
    T. A. Gillespie

    University of Edinburgh, United Kingdom

    9 publications · 319 citations

    9

    h-index

1–5 of 4.5K

Institutions

1.6K

  1. Centre National de la Recherche Scientifique

    Paris, France

    32 h-index

    125 publications

    6.3K citations

  2. California Institute of Technology

    Pasadena, United States

    23 h-index

    46 publications

    5.5K citations

  3. University of California San Diego

    San Diego, United States

    20 h-index

    32 publications

    3.5K citations

  4. The University of Texas at Austin

    Austin, United States

    17 h-index

    40 publications

    1.6K citations

  5. University of Oklahoma

    Norman, United States

    16 h-index

    43 publications

    2.5K citations

  6. The University of Tokyo

    Tokyo, Japan

    16 h-index

    37 publications

    1.5K citations

  7. Technion – Israel Institute of Technology

    Haifa, Israel

    16 h-index

    29 publications

    1.1K citations

  8. University of Illinois Urbana-Champaign

    Urbana, United States

    16 h-index

    37 publications

    1.7K citations

1–8 of 1.6K

Venues

  1. Linear Algebra and its Applications

    77 publications · 2.6K citations

    28

    h-index

  2. Journal of Functional Analysis

    62 publications · 2.4K citations

    27

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 42 publications · 2.2K citations

    24

    h-index

  4. Journal of Mathematical Analysis and Applications

    59 publications · 1.7K citations

    24

    h-index

  5. Pacific Journal of Mathematics

    34 publications · 1.2K citations

    22

    h-index

1–5