منابع مشابه
Spaces of Bivariate Spline
We consider the spaces of bivariate C-splines of degree k deened over arbitrary triangulations of a polygonal domain. We get an explicit formula for the dimension of such spaces when k 3 + 2 and construct a local supported basis for them. The dimension formula is valid for any polygonal domain even it is complex connected , and the formula is sharp since it arrives at the lower-bound which is g...
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The truncated basis of adaptively refined multilevel spline spaces was introduced by Giannelli et al. (2012, 2013). It possesses a number of advantages, including the partition of unity property, decreased support of the basis functions, preservation of coefficients and strong stability, that may make it highly useful for geometric modeling and numerical simulation. We generalize this construct...
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chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولwavelets, modulation spaces and pseudidifferential operators
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Explicit localization estimates for spline-type spaces
holds for every c ∈ `, and the functions {fk}k satisfy an spatial localization condition. In a spline-type space any function in f ∈ S has a unique expansion f = ∑ k ckfk. Moreover the coefficients are given by ck = 〈f, gk〉, where {gk}k ⊆ S is the dual basis, a set of functions characterized by the relation 〈gk, fj〉 = δk,j . These spaces provide a very natural framework for the sampling problem...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1984
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-77-3-289-320