Concepedia

Orthogonal Expansions

Orthogonal Expansions is a mathematical framework in harmonic analysis that represents functions as infinite series of mutually orthogonal basis functions, distinguishing it from other function approximation methods by leveraging the orthogonality property to simplify coefficient computation and ensure convergence in Hilbert spaces.

1.2K

Publications

61.1K

Citations

1.6K

Authors

752

Institutions

Publications per year

2017–2026

64

Parents

Publications

1.2K

Entropy-based algorithms for best basis selection

Ronald R. Coifman, Mladen Victor Wickerhauser · IEEE Transactions on Information Theory · 1992 · 3.2K citations

, , +16

Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I

D. Slepian, H. O. Pollak · Bell System Technical Journal · 1961 · 2.5K citations

, , +10

Introduction to Approximation Theory

T. J. Rivlin, E. W. Cheney · Mathematics of Computation · 1969 · 2.1K citations

, , +17

Painless nonorthogonal expansions

Yves Meyer · Journal of Mathematical Physics · 1986 · 1.3K citations

, , +9

The Orthogonal Development of Non-Linear Functionals in Series of Fourier-Hermite Functionals

R. H. Cameron, W. T. Martin · Annals of Mathematics · 1947 · 1.3K citations

, , +11

1–5 of 1.2K

Authors

1.6K

  1. WV
    Walter Van Assche

    KU Leuven, Belgium

    24 publications · 1.4K citations

    19

    h-index

  2. FM
    Francisco Marcellán

    Universidad Carlos III de Madrid, Spain

    31 publications · 923 citations

    18

    h-index

  3. PN
    Paul Nevai

    The Ohio State University, United States

    15 publications · 1K citations

    14

    h-index

  4. ME
    Mourad E. H. Ismail

    University of South Florida, United States

    15 publications · 619 citations

    13

    h-index

  5. ON
    Olav Njåstad

    Norwegian University of Science and Technology, Norway

    15 publications · 433 citations

    12

    h-index

1–5 of 1.6K

Institutions

752

  1. KU Leuven

    Leuven, Belgium

    22 h-index

    54 publications

    3.1K citations

  2. Universidad Carlos III de Madrid

    Madrid, Spain

    20 h-index

    59 publications

    1.7K citations

  3. The Ohio State University

    Columbus, United States

    14 h-index

    19 publications

    1.2K citations

  4. Universidad de Granada

    Granada, Spain

    14 h-index

    34 publications

    1K citations

  5. Universidad Politécnica de Madrid

    Madrid, Spain

    14 h-index

    20 publications

    570 citations

  6. Centre National de la Recherche Scientifique

    Paris, France

    13 h-index

    28 publications

    688 citations

  7. Delft University of Technology

    Delft, The Netherlands

    13 h-index

    25 publications

    2.1K citations

  8. Universidad de Zaragoza

    Zaragoza, Spain

    12 h-index

    33 publications

    1.1K citations

1–8 of 752

Venues

  1. Journal of Approximation Theory

    77 publications · 3K citations

    34

    h-index

  2. Journal of Computational and Applied Mathematics

    78 publications · 2.5K citations

    27

    h-index

  3. SIAM Journal on Mathematical Analysis

    34 publications · 2.3K citations

    25

    h-index

  4. Journal of Mathematical Analysis and Applications

    48 publications · 1.6K citations

    21

    h-index

  5. Constructive Approximation

    35 publications · 1.4K citations

    21

    h-index

1–5