discrete function theory
Recently Published Documents


TOTAL DOCUMENTS

7
(FIVE YEARS 1)

H-INDEX

3
(FIVE YEARS 0)

2020 ◽  
Vol 15 (1) ◽  
Author(s):  
Paula Cerejeiras ◽  
Uwe Kähler ◽  
Anastasiia Legatiuk ◽  
Dmitrii Legatiuk

AbstractDiscrete function theory in higher-dimensional setting has been in active development since many years. However, available results focus on studying discrete setting for such canonical domains as half-space, while the case of bounded domains generally remained unconsidered. Therefore, this paper presents the extension of the higher-dimensional function theory to the case of arbitrary bounded domains in $${\mathbb {R}}^{n}$$ R n . On this way, discrete Stokes’ formula, discrete Borel–Pompeiu formula, as well as discrete Hardy spaces for general bounded domains are constructed. Finally, several discrete Hilbert problems are considered.


2010 ◽  
Vol 138 (09) ◽  
pp. 3241-3241 ◽  
Author(s):  
Hilde De Ridder ◽  
Hennie De Schepper ◽  
Uwe Kähler ◽  
Frank Sommen

Sign in / Sign up

Export Citation Format

Share Document