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)
“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)
“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)
“God defend me from that Welsh fairy,
Lest he transform me to a piece of cheese!”
—William Shakespeare (1564–1616)