منابع مشابه
Pointwise Convergence of Lacunary Spherical Means
We show that if f is locally in L log logL then the lacunary spherical means converge almost everywhere. The argument given here is a model case for more general results on singular maximal functions and Hilbert transforms along plane curves [6].
متن کاملApproximation of Continuous Functions by Means of Lacunary Polynomials
be the orthonormal trigonometric sums on Di for weight p(6)cr(0) ; if the u's and v's are uniformly bounded on a point set D2 contained in Di, the same is true of the U's and Vs. For this case the proof admits a materially simpler formulation than when geometric configurations are contemplated having the degree of generality previously considered. The details relating to the loci C', C", K, K',...
متن کاملTitle Spherical K-means Clustering
October 21, 2009 Type Package Title Spherical k-Means Clustering Version 0.1-2 Author Kurt Hornik, Ingo Feinerer, Martin Kober Maintainer Kurt Hornik Description Algorithms to compute spherical k-means partitions. Features several methods, including a genetic and a simple fixed-point algorithm and an interface to the CLUTO vcluster program. License GPL-2 Imports slam...
متن کاملPackage 'skmeans' Title Spherical K-means Clustering
Description Algorithms to compute spherical k-means partitions. Features several methods, including a genetic and a fixed-point algorithm and an interface to the CLUTO vcluster program.
متن کاملInjectivity of the spherical means operator
Let S be a surface in R which divides the space into two connected components D1 and D2. Let f ∈ C0(R) be some real-valued compactly supported function with supp f ⊂ D1. Consider Mf := m(y, r) := ∫ Rn f(z)δ(|y − z| − r)dz, where δ is the delta-function, y ∈ S and r > 0 are arbitrary. A general, local at infinity, condition on S is given, under which M is injective, that is, Mf = 0 implies f = 0...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1979
ISSN: 0019-2082
DOI: 10.1215/ijm/1256048109