The book "Harmonic Analysis in Hypercomplex Systems" offers a comprehensive introduction to the theory of harmonic analysis within hypercomplex systems. The authors, Yu.M. Berezansky and A.A. Kalyuzhnyi, illuminate the development of concepts that have emerged since the early works of J. Delsarte and B.M. Levitin in 1938. These works investigate families of operators that generalize common translation operators and construct the corresponding harmonic analysis. A central theme of the book is the role of non-negative kernels in the convolutions of functions and the properties of the normed algebras generated by these convolutions. The book is a valuable resource for professionals and students who wish to familiarize themselves with the fundamentals and key results in this specialized area of mathematics.