CERTAIN CLASSES OF ANALYTIC FUNCTIONS AND DISTRIBUTIONS WITH GENERAL EXPONENTIAL GROWTH

Title & Authors
CERTAIN CLASSES OF ANALYTIC FUNCTIONS AND DISTRIBUTIONS WITH GENERAL EXPONENTIAL GROWTH
Sohn, Byung Keun;

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