Concepedia

Parseval's Identity

Parseval's Identity is an identity in Fourier analysis that belongs to the class of mathematical theorems relating the energy of a function to the energy of its Fourier coefficients, specifically asserting that the sum of the squares of the Fourier coefficients of a function equals the integral of the square of the function over one period.

33

Publications

1.5K

Citations

54

Authors

35

Institutions

Publications per year

2017–2026

6

Variants

Parseval's Theorem

Parents

Publications

33

On classes of summable functions and their Fourier Series

William Young · Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · 1912 · 253 citations · Full text

, , +8

A Simple Option Formula for General Jump-Diffusion and Other Exponential Levy Processes

Alan Lewis · SSRN Electronic Journal · 2001 · 237 citations · Full text

, , +17

A Simple Option Formula for General Jump-Diffusion and other Exponential Levy Processes

Alan Lewis · RePEc: Research Papers in Economics · 2001 · 142 citations

, , +17

On the multiplication of successions of Fourier constants

W. H. Young · Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · 1912 · 109 citations · Full text

, , +5

Notes on special systems of orthogonal functions (IV): the orthogonal functions of whittaker's cardinal series

G. H. Hardy · Mathematical Proceedings of the Cambridge Philosophical Society · 1941 · 86 citations

, , +12

1–5 of 33

Authors

54

  1. OY
    Osman Yürekli

    Ithaca College, United States

    4 publications · 67 citations

    4

    h-index

  2. HM
    H. M. Srivastava

    University of Victoria, Canada

    3 publications · 49 citations

    3

    h-index

  3. AL
    Alan Lewis

    University of Manchester, United Kingdom

    2 publications · 379 citations

    2

    h-index

  4. MM
    Mohammad Masjed‐Jamei

    K.N.Toosi University of Technology, Iran

    2 publications · 35 citations

    2

    h-index

  5. RR
    R. Roopkumar

    Alagappa University, India

    2 publications · 56 citations

    2

    h-index

1–5 of 54

Institutions

35

  1. Ithaca College

    Ithaca, United States

    4 h-index

    4 publications

    67 citations

  2. University of Victoria

    Victoria, Canada

    3 h-index

    3 publications

    49 citations

  3. K.N.Toosi University of Technology

    Tehran, Iran

    2 h-index

    2 publications

    35 citations

  4. Google (United States)

    Mountain View, United States

    2 h-index

    2 publications

    362 citations

  5. Central University of Tamil Nadu

    Thiruvarur, India

    1 h-index

    2 publications

    80 citations

  6. Alagappa University

    Karaikudi, India

    1 h-index

    1 publications

    16 citations

  7. Southeast University

    Nanjing, China

    1 h-index

    3 publications

    99 citations

  8. Universidad Carlos III de Madrid

    Madrid, Spain

    1 h-index

    2 publications

    42 citations

1–8 of 35

Venues

  1. Integral Transforms and Special Functions

    4 publications · 95 citations

    4

    h-index

  2. 3

    h-index

  3. Proceedings of the American Mathematical Society

    PROC · 3 publications · 136 citations

    3

    h-index

  4. TURKISH JOURNAL OF MATHEMATICS

    2 publications · 22 citations

    2

    h-index

  5. 2

    h-index

1–5