generalized harmonic functions
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2021 ◽  
Vol 11 (3) ◽  
Author(s):  
Markus Klintborg ◽  
Anders Olofsson

AbstractWe consider a class of generalized harmonic functions in the open unit disc in the complex plane. Our main results concern a canonical series expansion for such functions. Of particular interest is a certain individual generalized harmonic function which suitably normalized plays the role of an associated Poisson kernel.





2020 ◽  
Vol 26 (2) ◽  
pp. 85-104
Author(s):  
Kwang-Wu Chen ◽  
◽  
Yi-Hsuan Chen ◽  


Filomat ◽  
2016 ◽  
Vol 30 (12) ◽  
pp. 3291-3302 ◽  
Author(s):  
Jinjin Huang ◽  
Beatriz Ychussie

In this paper, weconstruct a modified Poisson-Sch integral on cones. As applications, wenot only obtain the asymptotic behaviors of generalized harmonic functions but also characterize the geometrical properties of the exceptional sets with respect to the Schr?dinger operator on cones.





2013 ◽  
Vol 17 (5) ◽  
pp. 1503-1521 ◽  
Author(s):  
Lei Qiao ◽  
Guoshuang Pan


2011 ◽  
Vol 272 (1-2) ◽  
pp. 459-472 ◽  
Author(s):  
S. A. Korolkov ◽  
A. G. Losev


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