poisson kernel
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scholarly journals Poisson Kernel: Avoiding Self-Smoothing in Graph Convolutional Networks

2021 ◽  
pp. 108443
Author(s):  
Ziqing Yang ◽  
Shoudong Han ◽  
Jun Zhao
Keyword(s):  
Poisson Kernel ◽  
Convolutional Networks

Cylindrical Poisson kernel method and its applications

2021 ◽  
Vol 72 (5) ◽  
Author(s):  
Lei Qiao
Keyword(s):  
Poisson Kernel ◽  
Kernel Method

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 The pluricomplex Poisson kernel for strongly pseudoconvex domains

2021 ◽  
Vol 380 ◽  
pp. 107577
Author(s):  
Filippo Bracci ◽  
Alberto Saracco ◽  
Stefano Trapani
Keyword(s):  
Poisson Kernel ◽  
Pseudoconvex Domains ◽  
Strongly Pseudoconvex Domains

scholarly journals On the heat content for the Poisson kernel over the unit ball in the euclidean space

2020 ◽  
Vol 52 (6) ◽  
pp. 1093-1104 ◽  
Author(s):  
Luis Acuña Valverde
Keyword(s):  
Euclidean Space ◽  
Unit Ball ◽  
Poisson Kernel ◽  
Heat Content

scholarly journals Poisson Kernel-Based Clustering on the Sphere: Convergence Properties, Identifiability, and a Method of Sampling

2020 ◽  
Vol 29 (4) ◽  
pp. 758-770
Author(s):  
Mojgan Golzy ◽  
Marianthi Markatou
Keyword(s):  
Poisson Kernel ◽  
Convergence Properties

scholarly journals Stein–Weiss inequalities with the fractional Poisson kernel

2020 ◽  
Vol 36 (5) ◽  
pp. 1289-1308 ◽  
Author(s):  
Lu Chen ◽  
Zhao Liu ◽  
Guozhen Lu ◽  
Chunxia Tao
Keyword(s):  
Poisson Kernel

Vector Field Decompositions using Multiscale Poisson Kernel

2020 ◽  
pp. 1-1
Author(s):  
Harsh Bhatia ◽  
Robert M. Kirby ◽  
Valerio Pascucci ◽  
Peer-Timo Bremer
Keyword(s):  
Vector Field ◽  
Poisson Kernel

scholarly journals On the complex Hermite polynomials

Filomat ◽  
2020 ◽  
Vol 34 (2) ◽  
pp. 409-420
Author(s):  
Zhi-Guo Liu
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Generating Function ◽  
Poisson Kernel ◽  
Hermite Polynomials ◽  
Addition Formula ◽  
Partial Differential ◽  
Expansion Theorem ◽  
New Approach ◽  
Complex Hermite Polynomials

In this paper we use a set of partial differential equations to prove an expansion theorem for multiple complex Hermite polynomials. This expansion theorem allows us to develop a systematic and completely new approach to the complex Hermite polynomials. Using this expansion, we derive the Poisson Kernel, the Nielsen type formula, the addition formula for the complex Hermite polynomials with ease. A multilinear generating function for the complex Hermite polynomials is proved.

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