TY - BOOK AU - Gallier,Jean AU - Quaintance,Jocelyn TI - Aspects of harmonic analysis on locally compact Abelian groups T2 - Mathematical foundations for computer vision, machine learning, and robotics SN - 9789811291715 PY - 2024/// CY - New Jersey PB - World Scientific KW - Locally compact Abelian groups KW - Harmonic analysis KW - Fourier analysis KW - Measure theory N1 - Includes bibliography, appendix, symbol index and index N2 - The Fourier transform is a "tool" used in engineering and computer vision to model periodic phenomena. Starting with the basics of measure theory and integration, this book delves into the harmonic analysis of locally compact abelian groups. It provides an in-depth tour of the beautiful theory of the Fourier transform based on the results of Gelfand, Pontrjagin, and Andre Weil in a manner accessible to an undergraduate student who has taken linear algebra and introductory real analysis ER -