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<p>In this work, we analyze the weighted composition semigroup on the space of holomorphic functions by providing cocycles as its weights. We establish some conditions under which it is analytically extended from the positive real line to a sector.</p>

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Analyticity of Weighted Composition Semigroups on the Space of Holomorphic Functions

  • 期刊论文

  • 发表日期：

    2025年1月22日

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  • Dimplekumar Chalishajar,
  • Meena Somasundaram,
  • Panayappan Sethuraman

摘要

In this work, we analyze the weighted composition semigroup on the space of holomorphic functions by providing cocycles as its weights. We establish some conditions under which it is analytically extended from the positive real line to a sector.