Spherical associated homogeneous distributions on $R^{n}$
نویسندگان
چکیده
منابع مشابه
One - Dimensional Associated Homogeneous Distributions
Let H′ (R) denote the set of Associated Homogeneous Distributions (AHDs) with support in R. The set H′ (R) consists of the distributional analogues of one-dimensional power-log functions. H′ (R) is an important subset of the tempered distributions S′ (R), because (i) it contains the majority of the (one-dimensional) distributions typically encountered in physics applications and (ii) recent wor...
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This is the first in a series of two papers in which we construct a convolution product for associated homogeneous distributions (AHDs) with support in R. In this paper, we show that if f and g are AHDs with degrees of homogeneity a−1 and b−1, the convolution fa∗gb exists as an AHD, provided the resulting degree of homogeneity a + b − 1 is not a natural number. Under this restriction, it is fou...
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Many feature representations, as in genomics, describe directional data where all feature vectors share a common norm. In other cases, as in computer vision, a norm or variance normalization step, where all feature vectors are normalized to a common length, is generally used. These representations and pre-processing step map the original data from R to the surface of a hypersphere Sp−1. Such re...
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2010
ISSN: 1370-1444
DOI: 10.36045/bbms/1292334055