On Summatory Functions of Additive Functions and Regular Variation
Aleksandar Ivić (2002)
Publications de l'Institut Mathématique
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Displaying similar documents to “The regular component of a group-valued set function”
On Summatory Functions of Additive Functions and Regular Variation
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Colloquium Mathematicae
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On additive functions with a non-decreasing normal order
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Groups – Additive Notation
Roland Coghetto (2015)
Formalized Mathematics
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We translate the articles covering group theory already available in the Mizar Mathematical Library from multiplicative into additive notation. We adapt the works of Wojciech A. Trybulec [41, 42, 43] and Artur Korniłowicz [25]. In particular, these authors have defined the notions of group, abelian group, power of an element of a group, order of a group and order of an element, subgroup, coset of a subgroup, index of a subgroup, conjugation, normal subgroup, topological group, dense...
On the completeness of a topological group of functions.
Kamal Kant Jha (1973)
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Extensions of set functions.
Sergei V. Ovchinnikov, Jean Claude Falmagne (2003)
Mathware and Soft Computing
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We establish a necessary and sufficient condition for a function defined on a subset of an algebra of sets to be extendable to a positive additive function on the algebra. It is algo shown that this condition is necessary and sufficient for a regular function defined on a regular subset of the Borel algebra of subsets of a given compact Hausdorff space to be extendable to a measure.