Fourier transform on the orispheres of homogeneous pseudo-Riemannian symmetric spaces of rank 1

1988 ◽  
Vol 22 (2) ◽  
pp. 161-163
Author(s):  
V. -B. K. Rogov
Keyword(s):  
Fourier Transform ◽  
Symmetric Spaces ◽  
Riemannian Symmetric Spaces

scholarly journals Characterization of Dini Lipschitz Functions in Terms of Their Helgason Transform

2016 ◽  
Vol 54 (2) ◽  
pp. 117-130
Author(s):  
Salah El Ouadih ◽  
Radouan Daher
Keyword(s):  
Fourier Transform ◽  
Lipschitz Condition ◽  
Symmetric Spaces ◽  
Translation Operator ◽  
Lipschitz Functions ◽  
Generalized Translation Operator ◽  
Generalized Translation ◽  
Rank One ◽  
Riemannian Symmetric Spaces

Abstract In this paper, using a generalized translation operator, we obtain an analog of Younis Theorem 5.2 in [6] for the Helgason Fourier transform of a set of functions satisfying the Dini Lipschitz condition in the space L2 for functions on noncompact rank one Riemannian symmetric spaces.

scholarly journals Wave propagation on Riemannian symmetric spaces

1992 ◽  
Vol 107 (2) ◽  
pp. 270-278 ◽  
Author(s):  
G. 'Olafsson ◽  
H. Schlichtkrull
Keyword(s):  
Wave Propagation ◽  
Symmetric Spaces ◽  
Riemannian Symmetric Spaces
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