Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (2): 229-233.

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α-times Integrated Cosine Operator Functions with Growth ω 

  

  1. 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);

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

CLC Number: