Asymptotically homogeneous generalized functions at zero and convolution equations with kernels quasi-homogeneous polynomial symbols

DOI10.1134/S1064562409030156zbMath1186.46040OpenAlexW1982432390MaRDI QIDQ736015

Yu. N. Drozhzhinov, B. I. Zav'yalov

Publication date: 26 October 2009

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562409030156

zbMATH Keywords

convolution equationskernelsasymptotically homogeneous generalised functionsquasi-homogeneous polynomial

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Nonlinear higher-order PDEs (35G20) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (6)

Asymptotically homogeneous solutions of differential equations whose symbols are polynomials quasi-homogeneous with respect to one-parameter groups with generators containing a nilpotent component ⋮ Asymptotically homogeneous solutions to differential equations with homogeneous polynomial symbols with respect to a multiplicative one-parameter group ⋮ Generalized functions asymptotically homogeneous with respect to one - parametric group at origin ⋮ Homogeneous generalized functions with respect to one-parametric group ⋮ Asymptotically homogeneous generalized functions along trajectories defined by a general one-parameter transformation group ⋮ Обобщeнные функции, асимптотически однородные вдоль траекторий неустойчивого вырожденного узла

Cites Work

• Asymptotically quasi-homogeneous distributions
• Regularly varying functions

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