analytic continuation

analytic continuation
1. a method of finding a function that coincides with a given analytic function in a domain and that remains analytic in a larger domain.
2. any function found by this method.
[1955-60]

* * *


Universalium. 2010.

Поможем написать реферат

Look at other dictionaries:

  • Analytic continuation — In complex analysis, a branch of mathematics, analytic continuation is a technique to extend the domain of a given analytic function. Analytic continuation often succeeds in defining further values of a function, for example in a new region where …   Wikipedia

  • analytic continuation — noun a) An extension of an analytic function which is itself analytic b) The practice of extending analytic functions …   Wiktionary

  • analytic continuation — Math. 1. a method of finding a function that coincides with a given analytic function in a domain and that remains analytic in a larger domain. 2. any function found by this method. [1955 60] …   Useful english dictionary

  • Continuation (disambiguation) — Continuation may refer to: Continuation, a concept in computer science Analytic continuation, a technique in complex analysis Continuation War, the Finno Soviet conflict during World War II Continuing patent application, a special type of patent… …   Wikipedia

  • Analytic — See also: Analysis Contents 1 Natural sciences 2 Philosophy 3 Social sciences …   Wikipedia

  • Analytic torsion — In mathematics, Reidemeister torsion (or R torsion, or Reidemeister–Franz torsion) is a topological invariant of manifolds introduced by Kurt Reidemeister (Reidemeister (1935)) for 3 manifolds and generalized to higher dimensions by Franz (1935)… …   Wikipedia

  • Global analytic function — In the mathematical field of complex analysis, a global analytic function is a generalization of the notion of an analytic function which allows for functions to have multiple branches. Global analytic functions arise naturally in considering the …   Wikipedia

  • Real analytic Eisenstein series — In mathematics, the simplest real analytic Eisenstein series is a special function of two variables. It is used in the representation theory of SL2(R) and in analytic number theory. It is closely related to the Epstein zeta function.There are… …   Wikipedia

  • Non-analytic smooth function — In mathematics, smooth functions (also called infinitely differentiable functions) and analytic functions are two very important types of functions. One can easily prove that any analytic function of a real argument is smooth. The converse is not …   Wikipedia

  • Rigid analytic space — In mathematics, a rigid analytic space is an analogue of a complex analytic space over a nonarchimedean field. They were introduced by John Tate in 1962, as an outgrowth of his work on uniformizing p adic elliptic curves with bad reduction using… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”