arXiv:1704.00049 [math.RT]AbstractReferencesReviewsResources
Projectors separating spectra for $L^2$ on symmetric spaces $GL(n,\C)/GL(n,\R)$
Published 2017-03-31Version 1
The Plancherel decomposition of $L^2$ on a pseudo-Riemannian symmetric space $GL(n,C)/GL(n,R)$ has spectrum of $[n/2]$ types. We write explicitly orthogonal projectors separating spectrum into uniform pieces
Comments: 21p
Related articles: Most relevant | Search more
arXiv:math/0202018 [math.RT] (Published 2002-02-02)
Action of overalgebra in Plancherel decomposition and shift operators in imaginary direction
arXiv:1704.04018 [math.RT] (Published 2017-04-13)
The Fourier transform on the group $GL_2(R)$ and the action of the overalgebra $gl_4$
arXiv:2202.02119 [math.RT] (Published 2022-02-04)
The most continuous part of the Plancherel decomposition for a real spherical space