Concepedia

Spectral Theory

Spectral Theory is a branch of mathematical physics that studies the spectrum of operators on function spaces, particularly characterizing the set of eigenvalues and generalized eigenfunctions associated with linear operators arising in quantum mechanics and differential equations.

23.4K

Publications

1.1M

Citations

20.9K

Authors

4K

Institutions

Publications per year

2017–2026

2.5K

Parents

Children

Publications

23.4K

Theory of reproducing kernels

N. Aronszajn · Transactions of the American Mathematical Society · 1950 · 5.4K citations · Full text

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A Treatise on the Theory of Bessel Functions

H. T. Davis, G. N. Watson · National Mathematics Magazine · 1944 · 5.4K citations

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The Algebraic Eigenvalue Problem

E. I., J. H. Wilkinson · Mathematics of Computation · 1966 · 5.2K citations

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Spectral Analysis and its Applications.

Walter Freiberger, Gwilym M. Jenkins, Donald G. Watts · Journal of the American Statistical Association · 1969 · 5K citations

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Spectral Analysis and Time Series

David B. Preston · Technometrics · 1983 · 4.9K citations

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1–5 of 23.4K

Authors

20.9K

  1. BS
    Barry Simon

    California Institute of Technology, United States

    98 publications · 9.8K citations

    53

    h-index

  2. FG
    Fritz Gesztesy

    University of Missouri, United States

    68 publications · 3.5K citations

    35

    h-index

  3. WM
    Wen‐Xiu Ma

    University of South Florida, United States

    35 publications · 2K citations

    26

    h-index

  4. DY
    Dachun Yang

    Beijing Normal University, China

    41 publications · 1.6K citations

    26

    h-index

  5. EB
    E. B. Davies

    King's College London, United Kingdom

    38 publications · 2.5K citations

    26

    h-index

1–5 of 20.9K

Institutions

4K

  1. Centre National de la Recherche Scientifique

    Paris, France

    72 h-index

    763 publications

    36.2K citations

  2. Princeton University

    Princeton, United States

    62 h-index

    213 publications

    21.3K citations

  3. California Institute of Technology

    Pasadena, United States

    60 h-index

    265 publications

    18.2K citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    59 h-index

    220 publications

    18.8K citations

  5. University of California, Berkeley

    Berkeley, United States

    57 h-index

    212 publications

    21.1K citations

  6. Institute for Advanced Study

    Princeton, United States

    47 h-index

    105 publications

    9.6K citations

  7. University of California, Los Angeles

    Los Angeles, United States

    47 h-index

    169 publications

    12.8K citations

  8. Courant Institute of Mathematical Sciences

    New York, United States

    46 h-index

    121 publications

    11.4K citations

1–8 of 4K

Venues

  1. Journal of Functional Analysis

    845 publications · 43K citations

    94

    h-index

  2. Communications in Mathematical Physics

    476 publications · 36K citations

    91

    h-index

  3. Linear Algebra and its Applications

    789 publications · 29.5K citations

    79

    h-index

  4. Physical Review Letters

    PRL · 151 publications · 17.3K citations

    69

    h-index

  5. Journal of Mathematical Analysis and Applications

    756 publications · 27.3K citations

    68

    h-index

1–5