Fourier Transform - Properties of The Fourier Transform

Properties of The Fourier Transform

Here we assume ƒ(x), g(x) and h(x) are integrable functions, are Lebesgue-measurable on the real line, and satisfy:

We denote the Fourier transforms of these functions by  ,   and   respectively.

Read more about this topic:  Fourier Transform

Famous quotes containing the words properties of the, properties of, properties and/or transform:

    A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.
    Ralph Waldo Emerson (1803–1882)

    A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.
    Ralph Waldo Emerson (1803–1882)

    The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.
    John Locke (1632–1704)

    It is necessary to turn political crisis into armed crisis by performing violent actions that will force those in power to transform the military situation into a political situation. That will alienate the masses, who, from then on, will revolt against the army and the police and blame them for this state of things.
    Carlos Marighella (d. 1969)