具ω增长阶的α次积分余弦算子函数

数学季刊 ›› 2011, Vol. 26 ›› Issue (2): 229-233.

具ω增长阶的α次积分余弦算子函数

Department of Applied Mathematics, Nanjing Audit University

收稿日期:2008-09-01 出版日期:2011-06-30 发布日期:2023-04-28
作者简介:WANG Mei-ying(1950-), female, native of Xuzhou, Jiangsu, a professor of Nanjing Audit University, engages in approximation theory and operators theory.
基金资助:
Supported by the Natural Science Foundation of Department of Education of Jiangsu Province(06KJD110087)； Supported by the Youth Foundation of NanJing Audit University(NSK2009/C04)；

α-times Integrated Cosine Operator Functions with Growth ω

Department of Applied Mathematics, Nanjing Audit University

Received:2008-09-01 Online:2011-06-30 Published:2023-04-28
About author:WANG Mei-ying(1950-), female, native of Xuzhou, Jiangsu, a professor of Nanjing Audit University, engages in approximation theory and operators theory.
Supported by:
Supported by the Natural Science Foundation of Department of Education of Jiangsu Province(06KJD110087)； Supported by the Youth Foundation of NanJing Audit University(NSK2009/C04)；

摘要/Abstract

摘要： For a continuous, increasing function ω: [0,∞)→C of finite exponential type, we establish a Hille-Yosida type theorem for strongly continuous α-times (α>0) integrated cosine operator functions with O(ω). It includes the corresponding results for n-times integrated cosine operator functions that are polynomially bounded and exponentially bounded.

关键词: integrated cosine operator functions with growth ω, generator, generation
theorem

Abstract: For a continuous, increasing function ω: [0,∞)→C of finite exponential type, we establish a Hille-Yosida type theorem for strongly continuous α-times (α>0) integrated cosine operator functions with O(ω). It includes the corresponding results for n-times integrated cosine operator functions that are polynomially bounded and exponentially bounded.

Key words: integrated cosine operator functions with growth ω, generator, generation
theorem

中图分类号:

O172.2

王梅英, 许飞. 具ω增长阶的α次积分余弦算子函数[J]. 数学季刊, 2011, 26(2): 229-233.

WANG Mei-ying, XU Fei. α-times Integrated Cosine Operator Functions with Growth ω [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 229-233.

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