Concepedia

Absolutely Continuous Spectrum

The Absolutely Continuous Spectrum is a component of the spectrum of a linear operator in functional analysis that corresponds to spectral measures absolutely continuous with respect to the Lebesgue measure, distinguished from the pure point and singular continuous spectra by its association with wave-like, extended eigenfunctions and the applicability of the spectral theorem via density of states.

532

Publications

21.5K

Citations

633

Authors

408

Institutions

Publications per year

2017–2026

36

Parents

Publications

532

On the perturbation of continuous spectra

Kurt Friedrichs · Communications on Pure and Applied Mathematics · 1948 · 540 citations

, , +11

Three Notes on the Quantum Theory of Aperiodic Effects

J. Robert Oppenheimer · Physical Review · 1928 · 532 citations

, , +7

PERIODOGRAM ANALYSIS AND CONTINUOUS SPECTRA

M. S. Bartlett · Biometrika · 1950 · 492 citations

, , +8

Dynamical Systems of Continuous Spectra

B. O. Koopman, J. v. Neumann · Proceedings of the National Academy of Sciences · 1932 · 452 citations · Full text

, , +13

On the Spectrum of C 0 -Semigroups

Transactions of the American Mathematical Society · 1984 · 452 citations

, , +8

1–5 of 532

Authors

633

  1. BS
    Barry Simon

    California Institute of Technology, United States

    17 publications · 1.7K citations

    16

    h-index

  2. SJ
    Svetlana Jitomirskaya

    University of California, Irvine, United States

    11 publications · 900 citations

    11

    h-index

  3. DD
    David Damanik

    California Institute of Technology, United States

    9 publications · 218 citations

    9

    h-index

  4. YL
    Yoram Last

    California Institute of Technology, United States

    9 publications · 918 citations

    9

    h-index

  5. AK
    Alexander Kiselev

    University of Wisconsin–Madison, United States

    8 publications · 267 citations

    8

    h-index

1–5 of 633

Institutions

408

  1. California Institute of Technology

    Pasadena, United States

    22 h-index

    34 publications

    3.1K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    13 h-index

    16 publications

    436 citations

  3. University of California, Irvine

    Irvine, United States

    13 h-index

    19 publications

    686 citations

  4. St Petersburg University

    Saint Petersburg, Russia

    11 h-index

    16 publications

    297 citations

  5. Georgia Institute of Technology

    Atlanta, United States

    7 h-index

    8 publications

    417 citations

  6. Princeton University

    Princeton, United States

    7 h-index

    13 publications

    1.8K citations

  7. Institute for Advanced Study

    Princeton, United States

    7 h-index

    8 publications

    536 citations

  8. University of North Carolina at Charlotte

    Charlotte, United States

    7 h-index

    10 publications

    318 citations

1–8 of 408

Venues

  1. Communications in Mathematical Physics

    34 publications · 2.1K citations

    25

    h-index

  2. Journal of Functional Analysis

    31 publications · 1.3K citations

    19

    h-index

  3. 15

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 18 publications · 892 citations

    14

    h-index

  5. Journal of Mathematical Physics

    17 publications · 404 citations

    13

    h-index

1–5