The kernel of the Fourier transform on the left K-invariant L^r-Schwartz space for split rank one semisimple symmetric spaces is spanned by eigenfunctions associated with the discrete spectrum of the Laplace-Beltrami operator.
Spherical functions on a semisimple Lie group
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.FA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
$L^r$- Schwartz spaces on split rank one semisimple symmetric spaces
The kernel of the Fourier transform on the left K-invariant L^r-Schwartz space for split rank one semisimple symmetric spaces is spanned by eigenfunctions associated with the discrete spectrum of the Laplace-Beltrami operator.