The frame theory is a dynamic and exciting field with various applications in pure and applied mathematics. In this paper, we introduce and study the concept of controlled continuous \(*\)-g-frames in Hilbert \(C^{*}\)-modules, which is a generalization of discrete controlled \(*\)-g-frames in Hilbert \(C^{*}\)-modules. Additionally, we present some properties.

中文翻译：

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希尔伯特中的受控连续 $$*$$ -g 框架 $$C^{*}$$ -模块

框架理论是一个充满活力且令人兴奋的领域，在纯数学和应用数学中具有多种应用。本文介绍并研究了希尔伯特\(C^{*}\)模中受控连续\(*\) - g框架的概念，它是离散受控\(*\) - g的推广-希尔伯特\(C^{*}\)中的框架-模块。此外，我们还提供了一些属性。