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Groups of formal diffeomorphisms in several complex variables and closed one-forms
Groups of formal diffeomorphisms several complex variables closed one-forms
2011/1/21
We study groups of formal diffeomorphisms in several complex variables. For abelian,metabelian or nilpotent groups we investigate the existence of suitable formal vector fields and closed differential...
Operator monotone functions and Löwner functions of several variables
Operator monotone functions Lö wner functions of several variables
2010/12/9
We prove generalizations of L¨owner’s results on matrix monotone functions to several variables. We give a characterization of when a function of d variables is locally monotone on d-tuples of commuti...
Stability of Functional Equations in Several Variables
stability functional equation Jordan homomorphism Lie homomorphism
2007/12/11
We prove a generalization of Hyers' theorem on the stability of approximately additive mapping and a generalization of Badora's theorem on an approximate ring homomorphism. We also obtain a more gener...