Anzai Skew Products with Lebesgue Component of Infinite Multiplicity

1997 ◽  
Vol 29 (2) ◽  
pp. 195-199 ◽  
Author(s):  
A. Iwanik
Keyword(s):  
Skew Products ◽  
Infinite Multiplicity

scholarly journals The Beurling-Lax-Halmos theorem for infinite multiplicity

2021 ◽  
Vol 280 (6) ◽  
pp. 108884
Author(s):  
Raúl E. Curto ◽  
In Sung Hwang ◽  
Woo Young Lee
Keyword(s):  
Infinite Multiplicity

Topological entropy of piecewise bimonotone skew products

2009 ◽  
Vol 15 (1) ◽  
pp. 53-69
Author(s):  
Franz Hofbauer ◽  
Peter Maličký ◽  
L'ubomír Snoha
Keyword(s):  
Topological Entropy ◽  
Skew Products

scholarly journals Basis properties of the p , q -sine functions

2015 ◽  
Vol 471 (2174) ◽  
pp. 20140642 ◽  
Author(s):  
Lyonell Boulton ◽  
Gabriel J. Lord
Keyword(s):  
Shift Operators ◽  
The Family ◽  
The Subject ◽  
Infinite Multiplicity ◽  
Sine Functions

We improve the currently known thresholds for basisness of the family of periodically dilated p , q -sine functions. Our findings rely on a Beurling decomposition of the corresponding change of coordinates in terms of shift operators of infinite multiplicity. We also determine refined bounds on the Riesz constant associated with this family. These results seal mathematical gaps in the existing literature on the subject.

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