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In this paper, we consider the space of entire functions for a given proximate order and a semi-norm, and show that a continuous endomorphism of this space is represented naturally as a partial differ...ential operator of infinite order with entire function coefficients. Then, in the case of higher order, we study the relationship between the continuous endomorphisms and the linear partial differential operators of infinite order by means of the growth of the symbol of the operators.続きを見る
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Mendeley出力
