CONSTRUCTING DISCRETE HARMONIC FUNCTIONS IN WEDGES

CONSTRUCTING DISCRETE HARMONIC FUNCTIONS IN WEDGES

We propose a systematic construction of signed harmonic functions for discrete Laplacian operators with Dirichlet conditions in the quarter plane. In particular, we prove that the set of harmonic functions is an algebra generated by a single element, which conjecturally corresponds to the unique pos...

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Bibliographic Details
Main Authors: Hoang, V.H (Author), Raschel, K. (Author), Tarrago, P. (Author)
Format: Article
Language:English
Published: American Mathematical Society 2022
Subjects:
conformal mappings
Discrete harmonic functions
Online Access:View Fulltext in Publisher
LEADER 00970nam a2200181Ia 4500
001 10.1090-tran-8615
008 220630s2022 CNT 000 0 und d
020 |a 00029947 (ISSN) 
245 1 0 |a CONSTRUCTING DISCRETE HARMONIC FUNCTIONS IN WEDGES 
260 0 |b American Mathematical Society  |c 2022 
520 3 |a We propose a systematic construction of signed harmonic functions for discrete Laplacian operators with Dirichlet conditions in the quarter plane. In particular, we prove that the set of harmonic functions is an algebra generated by a single element, which conjecturally corresponds to the unique positive harmonic function. © 2022 American Mathematical Society 
650 0 4 |a conformal mappings 
650 0 4 |a Discrete harmonic functions 
700 1 0 |a Hoang, V.H.  |e author 
700 1 0 |a Raschel, K.  |e author 
700 1 0 |a Tarrago, P.  |e author 
773 |t Transactions of the American Mathematical Society 
856 |z View Fulltext in Publisher  |u https://doi.org/10.1090/tran/8615 

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