Geodesic
Structural Theorems for Quasiasymptotics of Distributions at Infinity
Publications de l'Institut Mathématique, _N_S_84 (2008) no. 98, p. 159

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Complete structural theorems for quasiasymptotics of distributions are presented in this article. For this, asymptotically homogeneous functions and associate asymptotically homogeneous functions at infinity with respect to a slowly varying function are employed. The proposed analysis, based on the concept of asymptotically and associate asymptotically homogeneous functions, allows to obtain easier proofs of the structural theorems for quasiasymptotics at infinity in the so far only known case: when the degree of the quasiasymptotic is not a negative integer. Furthermore, new structural theorems for the case of negative integral degrees are obtained by this method.
DOI : 10.2298/PIM0898159V
Classification : 41A60 46F10 42A24 46F05 46F99
Keywords: Slowly varying functions, quasiasymptotics of distributions, almost homogeneous functions 
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     author = {Jasson Vindas},
     title = {Structural {Theorems} for {Quasiasymptotics} of {Distributions} at {Infinity}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {159 },
     publisher = {mathdoc},
     volume = {_N_S_84},
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     doi = {10.2298/PIM0898159V},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0898159V/}
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Jasson Vindas. Structural Theorems for Quasiasymptotics of Distributions at Infinity. Publications de l'Institut Mathématique, _N_S_84 (2008) no. 98, p. 159 . doi: 10.2298/PIM0898159V

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