Functional Analysis
Functional analysis is organized around adequate techniques to bring function spaces as topological vector spaces within reach of the ideas that would apply to normed spaces of finite dimension.
- Schwartz space of smooth functions of rapid decrease and its dual, tempered distributions
- Lp space
- κ(R) continuous functions with compact support endowed with the uniform norm topology
- B(R) bounded continuous (Bounded function)
- C∞(R) continuous functions which vanish at infinity
- Cr(R) continuous functions that have continuous first r derivatives.
- C∞(R) Smooth functions
- C∞c smooth functions with compact support
- D(R) compact support in limit topology
- Wk,p Sobolev space
- OU holomorphic functions
- linear functions
- piecewise linear functions
- continuous functions, compact open topology
- all functions, space of pointwise convergence
- Hardy space
- Hölder space
- Càdlàg functions, also known as the Skorokhod space
Read more about this topic: Function Space
Famous quotes containing the words functional and/or analysis:
“Well designed, fully functional infant. Provides someone to live for as well as another mouth to feed. Produces cooing, gurgling and other adorable sounds. May cause similar behavior in nearby adults. Cries when hungry, sleepy or just because. Hand Wash with warm water and mild soap, then pat dry with soft cloth and talc. Internal mechanisms are self-cleaning... Two Genders: Male. Female. Five Colors: White. Black. Yellow. Red. Camouflage.”
—Alfred Gingold, U.S. humorist. Items From Our Catalogue, Baby, Avon Books (1982)
“Ask anyone committed to Marxist analysis how many angels on the head of a pin, and you will be asked in return to never mind the angels, tell me who controls the production of pins.”
—Joan Didion (b. 1934)