High Quality Content by WIKIPEDIA articles! Several theorems are named after Karl Weierstrass. These include: * The Weierstrass approximation theorem, also known as the Stone-Weierstrass theorem * The Bolzano-Weierstrass theorem, which ensures compactness of closed and bounded sets in Rn * The Weierstrass extreme value theorem, which states that a continuous function on a closed and bounded set obtains its extreme values * The Weierstrass–Casorati theorem describes the behavior of holomorphic functions near essential singularities * The Weierstrass preparation theorem describes the behavior of analytic functions near a specified point * The Lindemann–Weierstrass theorem concerning the transcendental numbers * The Weierstrass factorization theorem asserts that entire functions can be represented by a product involving their zeroes * The Sokhatsky–Weierstrass theorem which helps evaluate certain Cauchy-type integrals

Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

High Quality Content by WIKIPEDIA articles! In mathematics, the Whittaker model is a realization of a representations of GL2 over a local field on a space of functions on the group. It is named after E. T. Whittaker even though he never worked in this area, because when the local field is the real numbers some of the functions involved in the representation are Whittaker functions.If G is the algebraic group GL2 and F is a local field, and ? is a fixed non-trivial character of the additive group of F and ? is an irreducible representation of G(F), then the Whittaker model for ? is a representation ? on a space of functions f on G(F) satisfying.

Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.