Ring of Pseudo-differential Operators
Differential rings and differential algebras are often studied by means of the ring of pseudo-differential operators on them.
This is the ring
Multiplication on this ring is defined as
Here is the binomial coefficient. Note the identities
which makes use of the identity
and
Read more about this topic: Differential Algebra
Famous quotes containing the word ring:
“These words dropped into my childish mind as if you should accidentally drop a ring into a deep well. I did not think of them much at the time, but there came a day in my life when the ring was fished up out of the well, good as new.”
—Harriet Beecher Stowe (18111896)