analytic subset
1Analytic capacity — In complex analysis, the analytic capacity of a compact subset K of the complex plane is a number that denotes how big a bounded analytic function from mathbb{C}setminus E can become. Roughly speaking, gamma(E) measures the size of the unit ball… …
2Analytic 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 …
3Analytic geometry — Cartesian coordinates. Analytic geometry, or analytical geometry has two different meanings in mathematics. The modern and advanced meaning refers to the geometry of analytic varieties. This article focuses on the classical and elementary meaning …
4Analytic set — This article is about analytic sets as defined in descriptive set theory. There is another notion in the context of analytic varieties. In descriptive set theory, a subset of a Polish space X is an analytic set if it is a continuous image of a… …
5Analytic Fredholm theorem — In mathematics, the analytic Fredholm theorem is a result concerning the existence of bounded inverses for a family of bounded linear operators on a Hilbert space. It is the basis of two classical and important theorems, the Fredholm alternative… …
6Complex analytic space — In mathematics, a complex analytic space is a generalization of a complex manifold which allows the presence of singularities. Complex analytic spaces are locally ringed spaces which are locally isomorphic to local model spaces, where a local… …
7Method of analytic tableaux — A graphical representation of a partially built propositional tableau In proof theory, the semantic tableau (or truth tree) is a decision procedure for sentential and related logics, and a proof procedure for formulas of first order logic. The… …
8Abstract analytic number theory — is a branch of mathematics which takes the ideas and techniques of classical analytic number theory and applies them to a variety of different mathematical fields. The classical prime number theorem serves as a prototypical example, and the… …
9Rigid 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… …
10Quasi-analytic function — In mathematics, a quasi analytic class of functions is a generalization of the class of real analytic functions based upon the following fact. If f is an analytic function on an interval , and at some point f and all of its derivatives are zero,… …
