Spectral Analysis on Standard Locally Homogeneous Spaces
Spectral Analysis on Standard Locally Homogeneous Spaces
English | 2025 | ISBN: 9819619564 | 114 Pages | PDF | 2.4 MB
English | 2025 | ISBN: 9819619564 | 114 Pages | PDF | 2.4 MB
A groundbreaking theory has emerged for spectral analysis of pseudo-Riemannian locally symmetric spaces, extending beyond the traditional Riemannian framework. The theory introduces innovative approaches to global analysis of locally symmetric spaces endowed with an indefinite metric. Breakthrough methods in this area are introduced through the development of the branching theory of infinite-dimensional representations of reductive groups, which is based on geometries with spherical hidden symmetries. The book elucidates the foundational principles of the new theory, incorporating previously inaccessible material in the literature.