[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2014.51.6.1805

CERTAIN CLASSES OF ANALYTIC FUNCTIONS AND DISTRIBUTIONS WITH GENERAL EXPONENTIAL GROWTH

Sohn, Byung Keun (Department of Mathematics Inje University)

Publication Information

Bulletin of the Korean Mathematical Society / v.51, no.6, 2014 , pp. 1805-1827 More about this Journal

Abstract

Let $\mathcal{K}^{\prime}_M$ be the generalized tempered distributions of $e^{M(t)}$ -growth, where the function M(t) grows faster than any linear functions as ${\mid}t{\mid}{\rightarrow}{\infty}$ , and let $K^{\prime}_M$ be the Fourier transform spaces of $\mathcal{K}^{\prime}_M$ . We obtain the relationship between certain classes of analytic functions in tubes, $\mathcal{K}^{\prime}_M$ and $K^{\prime}_M$ .

Keywords

analytic functions; distributions;

Citations & Related Records

Reference

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