generalized harmonic functions
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Generalized harmonic functions and Schwarz lemma for biharmonic mappings

2021 ◽  
Author(s):  
Adel Khalfallah ◽  
Fathi Haggui ◽  
Mohamed Mhamdi
Keyword(s):  
Harmonic Functions ◽  
Schwarz Lemma ◽  
Generalized Harmonic Functions

scholarly journals A series expansion for generalized harmonic functions

2021 ◽  
Vol 11 (3) ◽  
Author(s):  
Markus Klintborg ◽  
Anders Olofsson
Keyword(s):  
Harmonic Function ◽  
Series Expansion ◽  
Unit Disc ◽  
Harmonic Functions ◽  
Poisson Kernel ◽  
Open Unit ◽  
Open Unit Disc ◽  
Generalized Harmonic Function ◽  
Generalized Harmonic Functions

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.

scholarly journals Generalized harmonic functions on trees: Universality and frequent universality

2021 ◽  
pp. 125277
Author(s):  
N. Biehler ◽  
E. Nestoridi ◽  
V. Nestoridis
Keyword(s):  
Harmonic Functions ◽  
Generalized Harmonic Functions

scholarly journals Infinite series containing generalized harmonic functions

2020 ◽  
Vol 26 (2) ◽  
pp. 85-104
Author(s):  
Kwang-Wu Chen ◽  
◽  
Yi-Hsuan Chen ◽  
Keyword(s):  
Infinite Series ◽  
Harmonic Functions ◽  
Generalized Harmonic Functions

scholarly journals The modification of Poisson-Sch integral on cones and its applications

Filomat ◽  
2016 ◽  
Vol 30 (12) ◽  
pp. 3291-3302 ◽  
Author(s):  
Jinjin Huang ◽  
Beatriz Ychussie
Keyword(s):  
Harmonic Functions ◽  
Asymptotic Behaviors ◽  
Geometrical Properties ◽  
Exceptional Sets ◽  
Generalized Harmonic Functions

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.

scholarly journals Generalized harmonic functions and unitary representations of low dimensional Lie groups

2015 ◽  
Vol 597 ◽  
pp. 012021
Author(s):  
R Campoamor-Stursberg ◽  
M Rausch de Traubenberg
Keyword(s):  
Lie Groups ◽  
Harmonic Functions ◽  
Unitary Representations ◽  
Low Dimensional ◽  
Generalized Harmonic Functions

scholarly journals INTEGRAL REPRESENTATIONS OF GENERALIZED HARMONIC FUNCTIONS

2013 ◽  
Vol 17 (5) ◽  
pp. 1503-1521 ◽  
Author(s):  
Lei Qiao ◽  
Guoshuang Pan
Keyword(s):  
Harmonic Functions ◽  
Integral Representations ◽  
Generalized Harmonic Functions

Generalized harmonic functions of Riemannian manifolds with ends

2011 ◽  
Vol 272 (1-2) ◽  
pp. 459-472 ◽  
Author(s):  
S. A. Korolkov ◽  
A. G. Losev
Keyword(s):  
Riemannian Manifolds ◽  
Harmonic Functions ◽  
Generalized Harmonic Functions
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