ASYMPTOTICALLY HOMOGENEOUS GENERALIZED FUNCTIONS

摘要

Generalized functions of slow growth that have (quasi)asymptotics on the asymptotic scale of regularly varying functions are said to be asymptotically homogeneous. The paper suggests a spherical representation of the distributions and describe such functions in terms of that representation. The results are applied to the study of the singularities of the functions holomorphic in the tube domains over the cones.