Bingham, N. H. and Ostaszewski, Adam (2007) Generic subadditive functions. LSE-CDAM-2007-17. London school of economics and political science, London, UK.Full text not available from this repository.
We prove a generalization of the Subadditive Limit Theorem and of the corresponding Berz Theorem in a class of functions that includes both the measurable functions and the Baire functions (those with the Baire property). The generic subadditive functions are defined by a combinatorial property previously introduced for the study of the foundations of regular variation in LSE-CDAM-2006-22. By specialization we thus provide the previously unknown Baire variants of the fundamental theorems of subbaditive functions, answering an old question ([BGT], 2.12.4 p. 123).
|Item Type:||Monograph (Report)|
|Additional Information:||© 2007 London school of economics and political science|
|Library of Congress subject classification:||H Social Sciences > H Social Sciences (General)|
|Sets:||Departments > Mathematics|
|Date Deposited:||10 Jul 2008 09:01|
Actions (login required)
|Record administration - authorised staff only|