Displaying similar documents to “On some neutrix products of distributions.”

The structure of quasiasymptotics of Schwartz distributions

Jasson Vindas (2010)

Banach Center Publications

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In this article complete characterizations of the quasiasymptotic behavior of Schwartz distributions are presented by means of structural theorems. The cases at infinity and the origin are both analyzed. Special attention is paid to quasiasymptotics of degree -1. It is shown how the structural theorem can be used to study Cesàro and Abel summability of trigonometric series and integrals. Further properties of quasiasymptotics at infinity are discussed. A condition for test functions...