New shift-invariant spaces for the linear canonical transform and their applications

Optik ◽  
2021 ◽  
Vol 227 ◽  
pp. 165892
Author(s):  
Shuiqing Xu ◽  
Li Feng ◽  
Yigang He ◽  
Yi Chai
Keyword(s):  
Linear Canonical Transform ◽  
Shift Invariant Spaces ◽  
Invariant Spaces

scholarly journals Shift-invariant spaces from rotation-covariant functions

2008 ◽  
Vol 25 (2) ◽  
pp. 240-265 ◽  
Author(s):  
Brigitte Forster ◽  
Thierry Blu ◽  
Dimitri Van De Ville ◽  
Michael Unser
Keyword(s):  
Shift Invariant Spaces ◽  
Invariant Spaces

Backward Continued Fractions and their Invariant Measures

1996 ◽  
Vol 39 (2) ◽  
pp. 186-198 ◽  
Author(s):  
Karlheinz Gröchenig ◽  
Andrew Haas
Keyword(s):  
Nonnegative Integer ◽  
Continued Fractions ◽  
Invariant Measures ◽  
Specific Class ◽  
Integer Sequences ◽  
New Family ◽  
Shift Map ◽  
Shift Invariant Spaces ◽  
Invariant Spaces

AbstractThis paper continues our investigation of backward continued fractions, associated with the generalized Renyi maps on [0,1). We first show that the dynamics of the shift map on a specific class of shift invariant spaces of nonnegative integer sequences exactly models the maps Tu for u € (0,4). In the second part we construct a new family of explicit invariant measures for certain values of the parameter u.

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