Harmonic analysis on homogeneous spaces

Harmonic analysis on homogeneous spaces is a far-reaching generalization of the classical theory of Fourier series and Fourier integrals. It is a branch of functional analysis which is vigorously developing now. The principal contents is closely connected with group representation theory in infinite-dimensional spaces. On the other hand, it interacts with such diverse fields as algebra, algebraic geometry, spectral theory of operators, number theory, Hamiltonian mechanics, quantum mechanics.

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