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The definition, terminology and possible forms of homogeneous expansion of copulas are given. The methodology that provides homogeneous expansions with a proof of their existence is presented. Numerous examples illustrating the usage of the main theorem for valuation of the expansions are indicated.
Content available remote Homogeneous non-symmetric means of to variables
Let f, g : I approaches R be given continuous functions on the interval I such that g is not equal to 0, and h := f/g is strictly monotonic (thus invertible) on I. Taking an increasing nonconstant functiong g ž on [0, 1].
Content available remote Elements of D'Lq (R) as boundary values of holomorphic functions
In this paper we give a boundary value characterization of the space D'Lp(R) (see also [4]). Namely, we will show that every distribution that belongs to the space D'Lp(R) can be represented by analytic functions. We will also show that analytic functions fulfilling certain growth conditions have their boundary values in the space D'Lp (R). The characterization of holomorphic function spaces whose elements have boundary values in spaces of distributions and ultradistributions has a long history, see [2]-[6], [8] and [9].
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