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admissible vector

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  • Admissible representation — In mathematics, admissible representations are a well behaved class of representations used in the representation theory of reductive Lie groups over real or p adic fields. They were introduced by Harish Chandra.Real reductive groupsFor real… …   Wikipedia

  • Coherent states in mathematical physics — Coherent states have been introduced in a physical context, first as quasi classical states in quantum mechanics, then as the backbone of quantum optics and they are described in that spirit in the article Coherent states (see also [1]). However …   Wikipedia

  • Gelfand pair — In mathematics, the expression Gelfand pair refers to a pair ( G ,  K ) consisting of a group G and a subgroup K that satisfies a certain property on restricted representations.When G is a finite group the simplest definition is, roughly speaking …   Wikipedia

  • p-adic Hodge theory — In mathematics, p adic Hodge theory is a theory that provides a way to classify and study p adic Galois representations of characteristic 0 local fields[1] with residual characteristic p (such as Qp). The theory has its beginnings in Jean Pierre… …   Wikipedia

  • Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… …   Wikipedia

  • James-Stein estimator — The James Stein estimator is a nonlinear estimator which can be shown to dominate, or outperform, the ordinary (least squares) technique. As such, it is the best known example of Stein s phenomenon.An earlier version of the estimator was… …   Wikipedia

  • Controllability — is an important property of a control system, and the controllability property plays a crucial role in many control problems, such as stabilization of unstable systems by feedback, or optimal control. Controllability and observability are dual… …   Wikipedia

  • Principle of covariance — In physics, the principle of covariance emphasizes formulation of physical laws using only those physical quantities the measurements of which the observers in different frames of reference could unambiguously correlate. Mathematically, the… …   Wikipedia

  • Info-gap decision theory — is a non probabilistic decision theory that seeks to optimize robustness to failure – or opportuneness for windfall – under severe uncertainty,[1][2] in particular applying sensitivity analysis of the stability radius type[3] to perturbations in… …   Wikipedia

  • Aggregated Indices Randomization Method — (AIRM) is a modification of well known aggregated indices method being aimed at complex objects multi criteria estimation under uncertainty. The main advantage of AIRM over other variants of aggregated indices methods is its ability to use non… …   Wikipedia

  • Eigenvalues and eigenvectors — For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… …   Wikipedia

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