Long Huang

This open access book presents a comprehensive guide to MATLAB programming, catering to students, engineers, and researchers seeking to harness MATLAB as a powerful tool for their work. The text meticulously covers fundamental concepts, progressing from basic elements such as types and operators to more complex structures like arrays and matrices. It elucidates key programming constructs including selection statements, loop structures, scripts, and functions, providing readers with a solid foundation in MATLAB programming. The book's structure is carefully crafted to facilitate step-by-step learning, with each chapter building upon previous knowledge. Abundant examples and exercises reinforce understanding, while dedicated sections on data visualisation, algorithm development, and practical applications in engineering, science, and finance demonstrate MATLAB's versatility across disciplines. A distinguishing feature of this volume is its inclusion of laboratory work and coursework, allowing readers to apply theoretical concepts to real-world scenarios. This hands-on approach enhances the learning experience and prepares users for practical implementation of MATLAB in their respective fields. In the current era of artificial intelligence, this book serves as an essential resource for those seeking to leverage MATLAB's capabilities. It not only equips readers with programming skills but also illustrates how MATLAB can be integrated into cutting-edge research and industry applications.

The real-variable theory of function spaces has always been at the core of harmonic analysis. In particular, the real-variable theory of the Hardy space is a fundamental tool of harmonic analysis, with applications and connections to complex analysis, partial differential equations, and functional analysis.This book is devoted to exploring properties of generalized Herz spaces and establishing a complete real-variable theory of Hardy spaces associated with local and global generalized Herz spaces via a totally fresh perspective. This means that the authors view these generalized Herz spaces as special cases of ball quasi-Banach function spaces.In this book, the authors first give some basic properties of generalized Herz spaces and obtain the boundedness and the compactness characterizations of commutators on them. Then the authors introduce the associated Herz–Hardy spaces, localized Herz–Hardy spaces, and weak Herz–Hardy spaces, and develop a complete real-variable theory of these Herz–Hardy spaces, including their various maximal function, atomic, molecular as well as various Littlewood–Paley function characterizations. As applications, the authors establish the boundedness of some important operators arising from harmonic analysis on these Herz–Hardy spaces. Finally, the inhomogeneous Herz–Hardy spaces and their complete real-variable theory are also investigated.With the fresh perspective and the improved conclusions on the real-variable theory of Hardy spaces associated with ball quasi-Banach function spaces, all the obtained results of this book are new and their related exponents are sharp. This book will be appealing to researchers and graduate students who are interested in function spaces and their applications.