An inversion method for the exponential radon transform based on the harmonic analysis of the Euclidean motion group

2006 ◽  
Author(s):  
Can Evren Yarman ◽  
Birsen Yazıcı
Keyword(s):  
Harmonic Analysis ◽  
Radon Transform ◽  
Inversion Method ◽  
Motion Group ◽  
Euclidean Motion Group ◽  
Euclidean Motion ◽  
Exponential Radon Transform

On Inductive Limit Type Actions of the Euclidean Motion Group on Stable UHF Algebras

2006 ◽  
Vol 49 (2) ◽  
pp. 213-225
Author(s):  
Andrew J. Dean
Keyword(s):  
Dynamical Systems ◽  
Inductive Limit ◽  
Unitary Representations ◽  
Motion Group ◽  
Direct Sums ◽  
Euclidean Motion Group ◽  
Euclidean Motion

AbstractAn invariant is presented which classifies, up to equivariant isomorphism, C*-dynamical systems arising as limits from inductive systems of elementary C*-algebras on which the Euclidean motion group acts by way of unitary representations that decompose into finite direct sums of irreducibles.

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