homogeneous approximation property
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Continuous abstract wavelet transform on homogeneous spaces

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Jyoti Sharma ◽  
Ajay Kumar
Keyword(s):  
Wavelet Transform ◽  
Irreducible Representation ◽  
Homogeneous Space ◽  
Approximation Property ◽  
Homogeneous Spaces ◽  
Type Inequality ◽  
Infinite Measure ◽  
Homogeneous Approximation Property ◽  
Heisenberg Type ◽  
Homogeneous Approximation

AbstractThe support of a wavelet transform associated with a square integrable irreducible representation of a homogeneous space is shown to have infinite measure. Assumptions are illustrated and supported by examples. The pointwise homogeneous approximation property for a wavelet transform has been investigated. An analogue of Heisenberg type inequality is also obtained for a wavelet transform on a wavelet group.

The homogeneous approximation property and localized Gabor frames

2016 ◽  
Vol 181 (2) ◽  
pp. 325-339
Author(s):  
Hans G. Feichtinger ◽  
Markus Neuhauser
Keyword(s):  
Approximation Property ◽  
Gabor Frames ◽  
Homogeneous Approximation Property ◽  
Homogeneous Approximation

Homogeneous approximation property for wavelet frames

2008 ◽  
Vol 159 (3) ◽  
pp. 289-324 ◽  
Author(s):  
Wenchang Sun
Keyword(s):  
Approximation Property ◽  
Wavelet Frames ◽  
Homogeneous Approximation Property ◽  
Homogeneous Approximation
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