Widder-Arendt theorem and integrated semigroups in locally convex space

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：allonwxg

【摘要】

：

A well-known result established by Arendt in 1987 with regard to the Laplace transforms in Banach spaces is developed. A Widder-Arendt theorem in the setting of

【作者】

：

肖体俊梁进

【机构】

：

DepartmentofMathematics,YunnanTeachersUniversity,Kunming650092,China,TeachingandResearchSectionofMat

【出处】

：

中国科学：数学英文版

【发表日期】

：

1996年11期

【关键词】

：

LOCALLY CONVEX space Widder-Arendt THEOREM integrated SEMIGROUP ELLIPTIC differe

【基金项目】

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Project supported by the National Natural Science Foundation of China and the ABSF of Yunnan Province.

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A well-known result established by Arendt in 1987 with regard to the Laplace transforms in Banach spaces is developed. A Widder-Arendt theorem in the setting of sequentially complete locally convex spaces is set up (Theorem 1.1). Moreover, integrated semi

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Widder-Arendt theorem and integrated semigroups in locally convex space

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