Geodesic
Generalized functions asymptotically homogeneous with respect to one–parametric group at origin
Ufa mathematical journal, Tome 5 (2013) no. 1, pp. 17-35 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the work we obtain a complete description of generalized functions asymptotically homogeneous at origin w.r.t. a multiplicative one–parametric group of transformations so that the real parts of all the eigenvalues of infinitesimal matrix are positive including the case of critical orders. The obtained results are applied for constructing homogeneous solutions to differential equations whose symbols are quasi-homogeneous polynomials w.r.t. this group in a non-critical case.
Keywords: generalized functions, homogeneous functions, quasi-asymptotics, partial differential equations. 
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Yu. N. Drozhzhinov; B. I. Zavialov. Generalized functions asymptotically homogeneous with respect to one–parametric group at origin. Ufa mathematical journal, Tome 5 (2013) no. 1, pp. 17-35. http://geodesic.mathdoc.fr/item/UFA_2013_5_1_a2/

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