scholarly journals Gabor Frames: Characterizations and Coarse Structure

Author(s):  
Karlheinz Gröchenig ◽  
Sarah Koppensteiner
2020 ◽  
Vol 70 (6) ◽  
pp. 1413-1444
Author(s):  
Elisa Hartmann

AbstractTo a coarse structure we associate a Grothendieck topology which is determined by coarse covers. A coarse map between coarse spaces gives rise to a morphism of Grothendieck topologies. This way we define sheaves and sheaf cohomology on coarse spaces. We obtain that sheaf cohomology is a functor on the coarse category: if two coarse maps are close they induce the same map in cohomology. There is a coarse version of a Mayer-Vietoris sequence and for every inclusion of coarse spaces there is a coarse version of relative cohomology. Cohomology with constant coefficients can be computed using the number of ends of a coarse space.


2021 ◽  
Vol 47 (4) ◽  
Author(s):  
Ole Christensen ◽  
Say Song Goh ◽  
Hong Oh Kim ◽  
Rae Young Kim

2010 ◽  
Vol 53 (12) ◽  
pp. 3179-3186 ◽  
Author(s):  
ZhongYan Li ◽  
DeGuang Han
Keyword(s):  

2012 ◽  
Vol 47 (5) ◽  
pp. 251-260 ◽  
Author(s):  
F. A. Shah
Keyword(s):  

2002 ◽  
Vol 8 (5) ◽  
pp. 507-512 ◽  
Author(s):  
Karlheinz Gröchenig ◽  
A.J.E.M. Janssen

2002 ◽  
Vol 13 (1) ◽  
pp. 63-76 ◽  
Author(s):  
Wenchang Sun ◽  
Xingwei Zhou
Keyword(s):  

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