全文文献 工具书 数字 学术定义 翻译助手 学术趋势 更多

 共[63808]条 当前为第1条到20条[由于搜索限制，当前仅支持显示前5页数据]

 basis Applications to constructing a basis inZ(g) for classical g are also sketched. A basis is calledmonomial if each of its elements is the result of applying to a (fixed) highest weight vector a monomial in the Chevalley basis elementsYα, α a simple root, in the opposite Borel subalgebra. On the basis of these solutions, two types of elliptic quantum groups have been introduced (Foda et al. We describe a basis forY, show that it is a polynomial algebra and describe its rank, which we compute explicitly in a number of cases. Our basic tool is Lusztig's canonical basis and the string parametrization of this basis. In order to prove this, we compare, using the Schur duality, these elements with the Kashiwara canonical basis of an integrable module. As the third application, we describe a K-basis for the ring of invariants for the adjoint action of ${\rm SL}_2(K)$ on m copies of $sl_2(K)$ in terms of traces. The canonical and dual canonical basis of the Fock space are computed and then used to derive the finite-dimensional tilting and irreducible characters for the Lie superalgebra osp(2|2n). For any ε >amp;gt; 0, we construct an orthonormal Schauder basis of C(K) consisting of trigonometric polynomials Tn n = 1, 2, . We present two generalizations of the orthogonal basis of Malvar and Coifman-Meyer: biorthogonal and equal parity bases. For Fourier-bandlimited symbols, we derive the expected formulae for composition and commutators and construct an orthonormal basis of common approximate eigenvectors that could be used to study spectral theory. For Fourier-bandlimited symbols, we derive the expected formulae for composition and commutators and construct an orthonormal basis of common approximate eigenvectors that could be used to study spectral theory. We construct a basis for each Wk, so that the entire collection is a frame for L2(dμ). This wavelet basis is obtained from three wavelet generators by scaling, translation and rotation, and the wavelets are supported either by one corner triangle or a pair of adjacent triangles in the triangulation of level k - 1. A new class of unbalanced haar wavelets that form an unconditional basis for Lp on general measure spaces Given a complete separable σ-finite measure space (X,Σ, μ) and nested partitions of X, we construct unbalanced Haar-like wavelets on X that form an unconditional basis for Lp (X,Σ, μ) where1>amp;lt;p>amp;lt;∞. We show that if(X,Σ, μ) is not purely atomic, then the unconditional basis constant of our basis is (max(p, q) -1). In this paper we present two applications of a Stability Theorem of Hilbert frames to nonharmonic Fourier series and wavelet Riesz basis. In the case of an orthonormal basis, our estimate reduces to Kadec' optimal 1/4 result. We show that in this case any frame is a Riesz basis and our characterization of Riesz bases may be considered as a generalization of the theorems established by Coifman, et al.

 CNKI主页 |  设CNKI翻译助手为主页 | 收藏CNKI翻译助手 | 广告服务 | 英文学术搜索
2008 CNKI－中国知网

2008中国知网(cnki) 中国学术期刊(光盘版)电子杂志社