An Erdos-Wintner Theorem for Differences of Additive Functions

1988 ◽  
Vol 310 (1) ◽  
pp. 257 ◽  
Author(s):  
Adolf Hildebrand
Keyword(s):  
Additive Functions

scholarly journals On $p$ and $q$-Additive Functions

1999 ◽  
Vol 22 (1) ◽  
pp. 83-97 ◽  
Author(s):  
Yoshihisa UCHIDA
Keyword(s):  
Additive Functions

scholarly journals A Lebesgue decomposition for elements in a topological group

1980 ◽  
Vol 3 (4) ◽  
pp. 801-808
Author(s):  
Thomas P. Dence
Keyword(s):  
Topological Group ◽  
Abelian Group ◽  
Projection Operators ◽  
Additive Functions ◽  
Lebesgue Decomposition ◽  
Algebra Of Sets

Our aim is to establish the Lebesgue decomposition for strongly-bounded elements in a topological group. In 1963 Richard Darst established a result giving the Lebesgue decomposition of strongly-bounded elements in a normed Abelian group with respect to an algebra of projection operators. Consequently, one can establish the decomposition of strongly-bounded additive functions defined on an algebra of sets. Analagous results follow for lattices of sets. Generalizing some of the techniques yield decompositions for elements in a topological group.

scholarly journals The distribution of real-valued Q-additive functions modulo 1

2001 ◽  
Vol 100 (2) ◽  
pp. 117-133 ◽  
Author(s):  
Abigail Hoit
Keyword(s):  
Additive Functions

scholarly journals Strongly additive functions on lattices

1973 ◽  
Vol 78 (2) ◽  
pp. 99-106 ◽  
Author(s):  
Goeffrey Fox ◽  
Pedro Morales
Keyword(s):  
Additive Functions
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