The complex Fourier transform for rank-1 semisimple lie groups /
Cámpoli, Oscar Antonio, 1946-
The complex Fourier transform for rank-1 semisimple lie groups / Oscar Antonio Cámpoli ; dir. por Nolan Wallach. - [S.l. : s.n.], 1976. - 38 p. ; il. : 30 cm.
Tesis (Doctor en Matemática)--Universidad de Rutgers, 1976. Thesis (Doctor of Philosophy)--Rutgers University, 1976.
Let G be connected, semisimple, rank-1 Lie group with finite center. Let K be a maximal compact subgroup of G.
Using a generalization of S. Helgason´s technique for the spherical case, we prove Paley-Wiener theorems for the space of left and right K-finite, compactly-supported, infinitely differentiable functions on G.
Texto en inglés.
Fourier analysis.
Lie Groups.
Análisis de Fourier. Grupos de Lie.
The complex Fourier transform for rank-1 semisimple lie groups / Oscar Antonio Cámpoli ; dir. por Nolan Wallach. - [S.l. : s.n.], 1976. - 38 p. ; il. : 30 cm.
Tesis (Doctor en Matemática)--Universidad de Rutgers, 1976. Thesis (Doctor of Philosophy)--Rutgers University, 1976.
Let G be connected, semisimple, rank-1 Lie group with finite center. Let K be a maximal compact subgroup of G.
Using a generalization of S. Helgason´s technique for the spherical case, we prove Paley-Wiener theorems for the space of left and right K-finite, compactly-supported, infinitely differentiable functions on G.
Texto en inglés.
Fourier analysis.
Lie Groups.
Análisis de Fourier. Grupos de Lie.