Geodesic
Generalized functions asymptotically homogeneous along the unstable degenerated node
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2011), pp. 68-82

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The generalized functions which have quasiasymptotics along the trajectories of one-parametric group are called asymptomatically homogeneous. The corresponding limit functions are homogeneous with respect to this group. In this paper we give the full description of asymptotically homogeneous generalized functions along the trajectories of unstable degenerated node. The obtained results are applied for description of homogeneous generalized functions for such trajectories in two dimensional case.
Mots-clés : distributions
Keywords: quasiasymptotics, degenerate node, homogeneous generalized functions, asymptotically homogeneous functions. 
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     title = {Generalized functions asymptotically homogeneous along the unstable degenerated node},
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Yu. N. Drozhzhinov; B. I. Zav'yalov. Generalized functions asymptotically homogeneous along the unstable degenerated node. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2011), pp. 68-82. http://geodesic.mathdoc.fr/item/VSGTU_2011_1_a8/