The expansion of some distributions into the Wiener series
Abstract
The aim of this paper is to investigate a discrete integral transform on the real line, which seems to be better adapted for some applications then the Hermite transform (see for example [6]). Another complete orthonormal
system (CON) of functions on the real line, which was introduced by Wiener is more appropriate for nonlinear differential equations of mathematical physics. The reasons are that there exist linearization formulas with respect to the argument as well as with respect to the index and that the functions tend to zero as |x| tends to infinity as quickly as |x|-1.
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Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
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