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locally analytic function

См. также в других словарях:

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

  • 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 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

  • Holomorphic function — A rectangular grid (top) and its image under a holomorphic function f (bottom). In mathematics, holomorphic functions are the central objects of study in complex analysis. A holomorphic function is a complex valued function of one or more complex …   Wikipedia

  • Smooth function — A bump function is a smooth function with compact support. In mathematical analysis, a differentiability class is a classification of functions according to the properties of their derivatives. Higher order differentiability classes correspond to …   Wikipedia

  • Generalized function — In mathematics, generalized functions are objects generalizing the notion of functions. There is more than one recognised theory. Generalized functions are especially useful in making discontinuous functions more like smooth functions, and (going …   Wikipedia

  • Hardy-Littlewood maximal function — In mathematics, the Hardy Littlewood maximal operator M is a significant non linear operator used in real analysis and harmonic analysis. It takes a function f (a complex valued and locally integrable function) : f:mathbb{R}^{d} ightarrow… …   Wikipedia

  • Algebraic geometry and analytic geometry — In mathematics, algebraic geometry and analytic geometry are two closely related subjects. While algebraic geometry studies algebraic varieties, analytic geometry deals with complex manifolds and the more general analytic spaces defined locally… …   Wikipedia

  • Zonal spherical function — In mathematics, a zonal spherical function or often just spherical function is a function on a locally compact group G with compact subgroup K (often a maximal compact subgroup) that arises as the matrix coefficient of a K invariant vector in an… …   Wikipedia

  • Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …   Wikipedia

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