Tables of Important Fourier Transforms
The following tables record some closed form Fourier transforms. For functions ƒ(x), g(x) and h(x) denote their Fourier transforms by ƒ̂, and respectively. Only the three most common conventions are included. It may be useful to notice that entry 105 gives a relationship between the Fourier transform of a function and the original function, which can be seen as relating the Fourier transform and its inverse.
Read more about this topic: Fourier Transform
Famous quotes containing the words tables of, tables, important and/or transforms:
“O these encounterers, so glib of tongue,
That give a coasting welcome ere it comes,
And wide unclasp the tables of their thoughts
To every ticklish reader! Set them down
For sluttish spoils of opportunity
And daughters of the game.”
—William Shakespeare (1564–1616)
“All my life I have said, “Whatever happens there will always be tables and chairs”—and what a mistake.”
—Elizabeth Bowen (1899–1973)
“We simply must have faith in each other, faith in our ability to govern ourselves, and faith in the future of this Nation. Restoring that faith and that confidence to America is now the most important task we face.”
—Jimmy Carter (James Earl Carter, Jr.)
“Now, since our condition accommodates things to itself, and transforms them according to itself, we no longer know things in their reality; for nothing comes to us that is not altered and falsified by our Senses. When the compass, the square, and the rule are untrue, all the calculations drawn from them, all the buildings erected by their measure, are of necessity also defective and out of plumb. The uncertainty of our senses renders uncertain everything that they produce.”
—Michel de Montaigne (1533–1592)