Geometric and harmonic analysis on homogeneous spaces and applications

摘要

Lie group representation theory and harmonic analysis on Lie groups and on their homogeneous spaces have built up enormous stores of knowledge as a significant and indispensable area of mathematics since the end of the World War II when the research in these areas began. These areas are closely interrelated with various other mathematical fields such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations and mathematical physics, and are still growing and developing.