"Recent Topics on Frame Theory" is a specialized book that addresses the latest developments in frame theory, a dynamic research area in mathematics, computer science, and engineering. Frame theory represents a generalization of bases in Hilbert spaces and has evolved since its introduction by Dun and Schaeffer in 1952, as well as its further development by Daubechies, Grossmann, and Meyer in 1986, into an important topic across various application fields. This book provides a comprehensive collection of fundamental and current topics in frame theory, both in Hilbert spaces and in Hilbert C-modules. It is divided into two independent parts: the first part focuses on frame theory in Hilbert spaces, while the second part addresses frame theory in Hilbert C-modules. The clear structure and well-founded approach make this book a valuable resource for students and professionals looking to engage with these mathematical concepts.