Журнал обобщенной теории лжи и ее приложений

Harmonic Analysis on Symmetric Spaces and Beyond

Abstract

Zhu Zhang*

Harmonic analysis is a field of mathematics that studies the properties and behavior of functions on topological groups, particularly focusing on the decomposition of functions into simpler components. This field has found numerous applications in various branches of mathematics, physics, and engineering. One particularly rich area of study within harmonic analysis is the analysis of functions on symmetric spaces. Symmetric spaces are spaces that exhibit certain symmetry under a group of transformations, and their study involves a deep interplay between geometry, group theory, and analysis.