Uncertainty principles
نویسندگان
چکیده
منابع مشابه
Uncertainty principles
Traditional (West) German politics in the postwar era was very easy to understand. There were the Social Democrats (SPD) on the left, the Christian Democrats (CDU/CSU) on the right, and the much less numerous Free Democrats (FDP) in the middle. Typically, neither of the larger parties had an outright majority, so the small FDP effectively decided who could govern by choosing a coalition partner...
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Abstract The classical uncertainty principles deal with functions on abelian groups. In this paper, we discuss the uncertainty principles for finite index subfactors which include the cases for finite groups and finite dimensional Kac algebras. We prove the Hausdorff-Young inequality, Young’s inequality, the Hirschman-Beckner uncertainty principle, the Donoho-Stark uncertainty principle. We cha...
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The aim of this paper is to prove new uncertainty principles for an integral operator T with a bounded kernel for which there is a Plancherel theorem. The first of these results is an extension of Faris’s local uncertainty principle which states that if a nonzero function f ∈ L(R, μ) is highly localized near a single point then T (f) cannot be concentrated in a set of finite measure. The second...
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We establish an operator-theoretic uncertainty principle over arbitrary compact groups, generalizing several previous results. As a consequence, we show that every nonzero square-integrable function f on a compact group G satisfies μ(supp f) · P ρ∈Ĝ dρ rk f̂(ρ) ≥ 1. For finite groups, our principle implies the following: if P and R are projection operators on the group algebra CG such that P com...
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In this paper I am careful to distinguish between the space of signals and the space of their Fourier transforms. Folland and Sitaram [4] give a survey of uncertainty principles in analysis. First we will go through the talk by Emmanuel Candès and Terence Tao, “The uniform uncertainty principle and compressed sensing”, Harmonic Analysis and Related Topics, Seville, December 5, 2008. Let G = Z/n...
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ژورنال
عنوان ژورنال: Current Biology
سال: 2009
ISSN: 0960-9822
DOI: 10.1016/j.cub.2009.09.011