The samples were mapped into reproducing kernel Hilbert space(RKHS) and a subspace was spanned there. 以再生核希尔伯特空间中的线性分析为基础,把样本集映射到再生空间中,然后张成再生空间的一个线性子空间,并求出这个子空间的基。 2. Relationship between the dual form and primal form of solution based...
1) separable Hilbert space 可分Hilbert空间 2) real separable Hilbert space 实可分Hilbert空间 3) separable 可分 1. Bivariate NonseparableScaling Function and Sampling Theorem onApproximation Subspace; 二维不可分尺度函数和相应逼近子空间上的采样定理 ...
quantum gravity/ separable Hilbert spaceloop quantum gravitykinematical Hilbert spacediffeomorphism-invariant statesknot spaceequivalence classesminor extensionfunctional classWe study the separability of the state space of loop quantum gravity. In the standard construction, the kinematical Hilbert space of the...
This subclass is characterized by the property that the Hilbert space has a countable basis defined in a way suitable for Hilbert spaces. Such a ‘Hilbert space basis’ plays the same role as a coordinate system in a finite dimensional vector space....
Separable Hilbert Space In subject area: Mathematics A separable Hilbert space H has a countable orthonormal basis {en}n=1∞,〈em,en〉=δmn, where δmn is the Kronecker delta function (i.e., it takes value 1 when m=n, and 0 otherwise). From: Effective Dynamics of Stochastic Partial ...
Separable Hilbert SpacesA basis of a Hilbert space [equation] is a set B of vectors such that the closed linear hull of B equals [equation]. A Hilbert space is called separable if it has a countable basis. The Gram-Schmidt...doi:10.1007/978-3-319-14045-2_17P. Blanchard...
This chapter deals with random elements that take on values in a separable Hilbert space. It starts with basic facts on Hilbert spaces and operators on such spaces. Basic notions for random elements that take on values in a Hilbert space are the expectation, which is seen to be a Bochner ...
Any separable Hilbert space is isometric to l 2 ; hence, the l 2 -space is a representative of a rather general class of Hilbert spaces. A weak limit problem for sequences of measures on a separable Hilbert space can then be transformed to a corresponding limit problem on l 2 . The ...
,p}, where C is a nonempty open subset of H, a real separable Hilbert space with inner product 〈.,.〉. fi:H⟶R¯=R∪{±∞},i=1,2,…,m, and gj:H⟶R,j=1,2,…,p. Consider the feasible set of (1) as WPOSs in separable Hilbert spaces The first theorem of this ...
This paper gives a part of useful conclusions of separable Hilbert space and proves to it. 给出了关于可分的希尔伯特空间的一部分有用结论,并予以证明. 来自期刊摘选 20. We hold that the separable verbs are single valence verbs. 我们认为离合词是一价动词. 来自期刊摘选 21. The solving of both ...