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Asymptotically homogeneous generalized functions along trajectories defined by a general one-parameter transformation group - MaRDI portal

Asymptotically homogeneous generalized functions along trajectories defined by a general one-parameter transformation group (Q542317)

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scientific article; zbMATH DE number 5905494
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Asymptotically homogeneous generalized functions along trajectories defined by a general one-parameter transformation group
scientific article; zbMATH DE number 5905494

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    Asymptotically homogeneous generalized functions along trajectories defined by a general one-parameter transformation group (English)
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    8 June 2011
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    With regard to a certain Schwartz space of test functions, a dual space of tempered distributions, and a real continuous one-parameter group of linear transformations of \(n\)-dimensional Euclidean space, the authors give a description of asymptotically homogeneous generalized functions along the trajectories generated by a general one-parameter group of linear transformations. The paper, at its conclusion, also describes homogeneous generalized functions along the trajectories mentioned above.
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    Schwartz space of test functions
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    tempered distributions
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    asymptotically homogeneous functions
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