real-analytic

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• 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

• Analytic function — This article is about both real and complex analytic functions. The article holomorphic function is solely about analytic functions in complex analysis. An analytic signal is a signal with no negative frequency components. In mathematics, an… …   Wikipedia

• analytic philosophy — n. a 20th cent. philosophic movement characterized by its method of analyzing concepts and statements in the light of common experience and ordinary language so as to eliminate confusions of thought and resolve many traditional philosophical… …   Universalium

• Real analysis — Real function redirects here. For the real part of a complex number, see real part. Real analysis, is a branch of mathematical analysis dealing with the set of real numbers and functions of a real variable. In particular, it deals with the… …   Wikipedia

• Analytic signal — Not to be confused with Analytic function. In mathematics and signal processing, the analytic representation of a real valued function or signal facilitates many mathematical manipulations of the signal. The basic idea is that the negative… …   Wikipedia

• Analytic 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 …   Wikipedia

• Analytic number theory — In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve number theoretical problems. [Page 7 of Apostol 1976] It is often said to have begun with Dirichlet s introduction of… …   Wikipedia

• Analytic Hierarchy Process — The Analytic Hierarchy Process (AHP) is a structured technique for helping people deal with complex decisions. Rather than prescribing a correct decision, the AHP helps people to determine one. Based on mathematics and human psychology, it was… …   Wikipedia

• analytic geometry — a branch of mathematics in which algebraic procedures are applied to geometry and position is represented analytically by coordinates. Also called coordinate geometry. [1820 30] * * * Investigation of geometric objects using coordinate systems.… …   Universalium

• Analytic variety — In mathematics, specifically geometry, an analytic variety is defined locally as the set of common solutions of several equations involving analytic functions. It is analogous to the included concept of complex algebraic variety, and any complex… …   Wikipedia

• Analytic 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… …   Wikipedia