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continuous semigroup

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  • C0-semigroup — In mathematics, a C0 semigroup, also known as a strongly continuous one parameter semigroup, is a generalization of the exponential function. Just as exponential functions provide solutions of scalar linear constant coefficient ordinary… …   Wikipedia

  • Analytic semigroup — In mathematics, an analytic semigroup is particular kind of strongly continuous semigroup. Analytic semigroups are used in the solution of partial differential equations; compared to strongly continuous semigroups, analytic semigroups provide… …   Wikipedia

  • Topological semigroup — In mathematics, a topological semigroup is a semigroup which is simultaneously a topological space, and whose semigroup operation is continuous. [Artur Hideyuki Tomita. [http://tatra.mat.savba.sk/Full/14/10tomita.ps On sequentially compact both… …   Wikipedia

  • Distributed parameter system — A distributed parameter system (as opposed to a lumped parameter system) is a system whose state space is infinite dimensional. Such systems are therefore also known as infinite dimensional systems. Typical examples are systems described by… …   Wikipedia

  • Fractional calculus — is a branch of mathematical analysis that studies the possibility of taking real number powers of the differential operator ::D = frac{d}{dx} , and the integration operator J . (Usually J is used in favor of I to avoid confusion with other I like …   Wikipedia

  • Infinitesimal generator — In mathematics, the term infinitesimal generator may refer to:* an element of the Lie algebra associated to a Lie group; * the infinitesimal generator of a stochastic process; * the infinitesimal generator of a strongly continuous semigroup …   Wikipedia

  • Hille–Yosida theorem — In functional analysis, the Hille–Yosida theorem characterizes one parameter semigroups of linear operators on Banach spaces satisfying certain continuity restrictions. The theorem is useful for solving certain differential equations such as the… …   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

  • Ellis–Nakamura lemma — In mathematics, the Ellis–Nakamura lemma states that if S is a non empty semigroup with a topology such that S is compact and the product is left continuous, then S has an idempotent element p , (that is, with pp = p ).ApplicationsApplying this… …   Wikipedia

  • Feller process — In mathematics, a Feller process is a particular kind of Markov process.DefinitionsLet X be a locally compact topological space with a countable base. Let C 0( X ) denote the space of all real valued continuous functions on X which vanish at… …   Wikipedia

  • Borel right process — Let E be a locally compact separable metric space.We will denote by mathcal E the Borel subsets of E.Let Omega be the space of right continuous maps from [0,infty) to E that have left limits in E,and for each t in [0,infty), denote by X t the… …   Wikipedia

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