Volterra operator

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• Volterra operator — In mathematics, in the area of functional analysis and operator theory, the Volterra operator represents the operation of indefinite integration, viewed as a bounded linear operator on the space L 2(0,1) of complex valued square integrable… …   Wikipedia

• Volterra (disambiguation) — Volterra may refer to the following:* Volterra a town in Italy * Daniele da Volterra an Italian painter * Francesco da Volterra an Italian painter * Vito Volterra an Italian mathematician * Volterra Semiconductor an American semiconductor… …   Wikipedia

• Volterra integral equation — In mathematics, the Volterra integral equations are a special type of integral equations. They are divided into two groups referred to as the first and the second kind.A Volterra equation of the first kind is: f(x) = int a^x K(x,t),phi(t),dt. A… …   Wikipedia

• Volterra series — The Volterra series and Volterra theorem was developed in 1887 by Vito Volterra. It is a model for non linear behavior, similar to the Taylor series. It differs from the Taylor series in its ability to capture memory effects. The Taylor series… …   Wikipedia

• Nilpotent operator — In operator theory, a bounded operator T on a Hilbert space is said to be nilpotent if Tn = 0 for some n. It is said to be quasinilpotent or topological nilpotent if its spectrum σ(T) = {0}. Examples In the finite dimensional case, i.e. when T is …   Wikipedia

• List of mathematics articles (V) — NOTOC Vac Vacuous truth Vague topology Valence of average numbers Valentin Vornicu Validity (statistics) Valuation (algebra) Valuation (logic) Valuation (mathematics) Valuation (measure theory) Valuation of options Valuation ring Valuative… …   Wikipedia

• Aronszajn-Smith theorem — In functional analysis, the Aronszajn Smith theorem resolves the invariant subspace problem for compact operators on a Banach space. It was proved by Nachman Aronszajn and K. T. Smith.The theorem states that a compact operator on a complex Banach …   Wikipedia

• Topological divisor of zero — In mathematics, in a topological algebra A , zin A is a topological divisor of zero if there exists a neighbourhood U of zero and a net (x i) {iin I} with forall iin I, x i in Asetminus U and zx i longrightarrow Oin A. If the topological algebra… …   Wikipedia

• Product integral — Product integrals are a counterpart of standard integrals of infinitesimal calculus. They were first developed by the mathematician Vito Volterra in 1887 to solve systems of linear differential equations. Since then, product integrals have found… …   Wikipedia

• Convolution — For the usage in formal language theory, see Convolution (computer science). Convolution of two square pulses: the resulting waveform is a triangular pulse. One of the functions (in this case g) is first reflected about τ = 0 and then offset by t …   Wikipedia

• Lineare Gleichung — Eine lineare Gleichung ist eine mathematische Bestimmungsgleichung, in der ausschließlich Linearkombinationen der Unbekannten vorkommen. Typischerweise sind die Unbekannten einer linearen Gleichung Skalare, meist reelle Zahlen. Im einfachsten… …   Deutsch Wikipedia