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smooth integral

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  • Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… …   Wikipedia

  • Integral geometry — In mathematics, the term integral geometry is used in two ways, which, although related, imply different views of the content of the subject. Cases The more traditional usage is that of Santalo and Blaschke. It follows from the classic theorem of …   Wikipedia

  • Skorokhod integral — In mathematics, the Skorokhod integral, often denoted delta; , is an operator of great importance in the theory of stochastic processes. It is named after the Ukrainian mathematician Anatoliy Skorokhod. Part of its importance is that it unifies… …   Wikipedia

  • Oscillatory integral operator — In mathematics, in the field of harmonic analysis, an oscillatory integral operator is an integral operator of the form where the function is called the phase of the operator and the function is called the symbol of the operator. is a parameter.… …   Wikipedia

  • Line integral — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

  • Singular integral — In mathematics, singular integrals are central to abstract harmonic analysis and are intimately connected with the study of partial differential equations. Broadly speaking a singular intetgral is an integral operator: T(f)(x) = int K(x,y)f(y) ,… …   Wikipedia

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  • Path integral formulation — This article is about a formulation of quantum mechanics. For integrals along a path, also known as line or contour integrals, see line integral. The path integral formulation of quantum mechanics is a description of quantum theory which… …   Wikipedia

  • Cauchy's integral formula — In mathematics, Cauchy s integral formula, named after Augustin Louis Cauchy, is a central statement in complex analysis. It expresses the fact that a holomorphic function defined on a disk is completely determined by its values on the boundary… …   Wikipedia

  • Riemann-Roch theorem for smooth manifolds — In mathematics, a Riemann Roch theorem for smooth manifolds is a version of results such as the Hirzebruch Riemann Roch theorem or Grothendieck Riemann Roch theorem (GRR) without a hypothesis making the smooth manifolds involved carry a complex… …   Wikipedia

  • Fredholm alternative — In mathematics, the Fredholm alternative, name after Ivar Fredholm, is one of Fredholm s theorems and is a result in Fredholm theory. It may be expressed in several ways, as a theorem of linear algebra, a theorem of integral equations, or as a… …   Wikipedia

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