Multiplicative Systems of Functions and Harmonic Analysis on Zero-Dimensional Groups by G. N. Aghaeva and N. I. Vilenkina is a fascinating and in-depth study that opens the world of mathematical analysis and function theory to the reader. This work will be a real find for students, graduate students and researchers interested in modern areas in mathematics, especially in the field of harmonic analysis and group theory. In their book, the authors immerse the reader in complex but fascinating concepts related to multiplicative function systems. They investigate how these systems can be applied to the analysis of zero-dimensional groups, which is an important topic in representation theory and functional analysis. The reader will be able to learn about how harmonic analysis can be used to solve various mathematical problems associated with these groups, and how multiplicative functions can help in understanding their structure. The book not only offers theoretical foundations, but also contains many practical examples and tasks, which makes it useful for both self-study and for use in training courses. The authors aim to make complex concepts accessible using a clear and logical style of presentation. They skillfully balance between theory and practice, which allows the reader not only to assimilate information, but also to apply it in practice. This work will be especially interesting for those who study mathematics at an advanced level. Students and graduate students of mathematical faculties, as well as teachers and researchers working in the field of analysis, group theory and functional analysis, will find in it many useful ideas and approaches. The book can also attract the attention of those who are interested in the applied aspects of mathematics, since multiplicative function systems are used in various fields of science and technology. The topics raised in the book go beyond pure mathematics. The authors address issues related to the application of harmonic analysis in physics, engineering and other sciences, which makes their work relevant and multifaceted. They explore how mathematical models can be used to describe real-world processes and phenomena, which certainly adds value to their work. G. N. Aghayev and N. I. Vilenkin famous mathematicians whose work has left a noticeable mark in the field of analysis and function theory Their previous publications have also been popular with professionals and students, and this book is no exception. The style of the authors is clear and logical, which allows the reader to easily follow their thoughts and ideas. If you are looking for a deep and informative reading that will help you expand your knowledge in the field of harmonic analysis and multiplicative function systems, then “Multiplicative function systems and harmonic analysis on zero-dimensional groups” is what you need. This book will not only enrich your mathematical arsenal, but also inspire new research and discoveries. Do not miss the opportunity to immerse yourself in a world of high mathematical ideas and concepts that can change your perception of science and its application in the modern world.