We study the asymptotics of the Poisson kernel and Green's functions of the fractional conformal Laplacian for conformal infinities of asymptotically hyperbolic manifolds. We derive sharp expansions of the Poisson kernel and Green's functions of the conformal Laplacian near their singularities. Our expansions of the Green's functions answer the first part of the conjecture of KimMussoWei[
In this paper, we propose a new class of operator factorization methods to discretize the integral fractional Laplacian
 NSFPAR ID:
 10336766
 Date Published:
 Journal Name:
 Discrete & Continuous Dynamical Systems  S
 Volume:
 15
 Issue:
 4
 ISSN:
 19371632
 Page Range / eLocation ID:
 851
 Format(s):
 Medium: X
 Sponsoring Org:
 National Science Foundation
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