Mathematics – Functional Analysis
Scientific paper
2010-10-20
Mathematics
Functional Analysis
Scientific paper
In this article we investigate the Fourier series and transforms for the
functions defined on the [-pi, pi]^ d or on the R^d and belonging to the
(Bilateral) Grand Lebesgue Spaces. As a particular case we obtain some results
about Fourier's transform in the so-called exponential Orlicz spaces. We
construct also several examples to show the exactness of offered estimations.
Ostrovsky Eugene
Sirota Leonid
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