Central processing unit | Law & Order: Special Victims Unit | The Unit | Arctic Circle | Larissa (regional unit) | New Circle Road | Economist Intelligence Unit | Diesel multiple unit | Outer Critics Circle Award | central processing unit | Company (military unit) | UNIT | unit | Chania (regional unit) | National Book Critics Circle Award | mya (unit) | diesel multiple unit | Circle K | Circle Jerks | Circle | Trikala (regional unit) | The Circle | G-Unit | Full Circle | Air Force Outstanding Unit Award | Navy Unit Commendation | Logan Circle | Kastoria (regional unit) | Golden Circle | Family Circle Cup |
For example, the circle method of Hardy and Littlewood was conceived as applying to power series near the unit circle in the complex plane; it is now thought of in terms of finite exponential sums (that is, on the unit circle, but with the power series truncated).
In mathematics, the Radó–Kneser–Choquet theorem, named after Tibor Radó, Hellmuth Kneser and Gustave Choquet, states that the Poisson integral of a homeomorphism of the unit circle is a harmonic diffeomorphism of the open unit disk.
A final release with Unit Circle Rekkids arrived in 2001 with You Brought Us Here.
More generally, given an abelian topological group G with Pontryagin dual G^, Parseval's theorem says the Pontryagin–Fourier transform is a unitary operator between Hilbert spaces L2(G) and L2(G^) (with integration being against the appropriately scaled Haar measures on the two groups.) When G is the unit circle T, G^ is the integers and this is the case discussed above.