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)
“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 inspired scribbler always has the gift for gossip in our common usage ... he or she can always inspire the commonplace with an uncommon flavor, and transform trivialities by some original grace or sympathy or humor or affection.”
—Elizabeth Drew (1887–1965)