• Source: List of mathematic operators

    • In mathematics, an operator or transform is a function from one space of functions to another. Operators occur commonly in engineering, physics and mathematics. Many are integral operators and differential operators.
    In the following L is an operator




    L
    :


    F


    →


    G




    {\displaystyle L:{\mathcal {F}}\to {\mathcal {G}}}


    which takes a function



    y
    ∈


    F




    {\displaystyle y\in {\mathcal {F}}}

    to another function



    L
    [
    y
    ]
    ∈


    G




    {\displaystyle L[y]\in {\mathcal {G}}}

    . Here,





    F




    {\displaystyle {\mathcal {F}}}

    and





    G




    {\displaystyle {\mathcal {G}}}

    are some unspecified function spaces, such as Hardy space, Lp space, Sobolev space, or, more vaguely, the space of holomorphic functions.


    See also


    List of transforms
    List of Fourier-related transforms
    Transfer operator
    Fredholm operator
    Borel transform
    Glossary of mathematical symbols

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