scholarly journals Algorithms for Fast Convolutions on Motion Groups

2000 ◽  
Vol 9 (2) ◽  
pp. 220-241 ◽  
Author(s):  
Alexander B Kyatkin ◽  
Gregory S Chirikjian
Keyword(s):  
Motion Groups ◽  
Fast Convolutions

scholarly journals Segal–Bargmann transform and Paley–Wiener theorems on Heisenberg motion groups

2015 ◽  
Vol 0 (0) ◽  
Author(s):  
Suparna Sen
Keyword(s):  
Bargmann Transform ◽  
Motion Groups

AbstractWe consider the Heisenberg motion groups ℍ𝕄 = ℍ

The nature of the Yale Common Proper Motion groups of stars

1983 ◽  
Vol 88 ◽  
pp. 1367 ◽  
Author(s):  
P. K. Lu ◽  
W. S. Tsay
Keyword(s):  
Proper Motion ◽  
Motion Groups

Deforming discontinuous groups for Heisenberg motion groups

2019 ◽  
Vol 30 (09) ◽  
pp. 1950045
Author(s):  
Ali Baklouti ◽  
Souhail Bejar ◽  
Khaireddine Dhahri
Keyword(s):  
Homogeneous Space ◽  
Parameter Space ◽  
Closed Subgroup ◽  
Motion Group ◽  
Discontinuous Group ◽  
Natural Action ◽  
Local Rigidity ◽  
Deformation Parameters ◽  
Motion Groups ◽  
Discontinuous Groups

We study in this paper the local rigidity proprieties of deformation parameters of the natural action of a discontinuous group [Formula: see text] acting on a homogeneous space [Formula: see text], where [Formula: see text] stands for a closed subgroup of the Heisenberg motion group [Formula: see text]. That is, the parameter space admits a locally rigid (equivalently a strongly locally rigid) point if and only if [Formula: see text] is finite. Moreover, Calabi–Markus’s phenomenon and the question of existence of compact Clifford–Klein forms are also studied.

Følner Nets for Semidirect Products of Amenable Groups

2008 ◽  
Vol 51 (1) ◽  
pp. 60-66 ◽  
Author(s):  
David Janzen
Keyword(s):  
Strong Form ◽  
Locally Compact ◽  
Amenable Groups ◽  
Semidirect Products ◽  
Euclidean Motion ◽  
Motion Groups

AbstractFor unimodular semidirect products of locally compact amenable groups N and H, we show that one can always construct a Følner net of the form (Aα × Bβ) for G, where (Aα) is a strong form of Følner net for N and (Bβ) is any Følner net for H. Applications to the Heisenberg and Euclidean motion groups are provided.

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