scholarly journals Multivariate smooth interpolation that employs polyharmonic functions

2019 ◽  
Author(s):  
Karel Segeth
Keyword(s):  
Polyharmonic Functions

scholarly journals Bounded polyharmonic functions and the dimension of the manifold

1973 ◽  
Vol 13 (3) ◽  
pp. 529-535 ◽  
Author(s):  
Norman Mirsky ◽  
Leo Sario ◽  
Cecilia Wang
Keyword(s):  
Polyharmonic Functions

scholarly journals Riesz-Martin representation for positive super-polyharmonic functions in A Riemannian manifold

2006 ◽  
Vol 2006 ◽  
pp. 1-9
Author(s):  
V. Anandam ◽  
S. I. Othman
Keyword(s):  
Riemannian Manifold ◽  
Complex Plane ◽  
Unit Disc ◽  
Biharmonic Function ◽  
Subharmonic Functions ◽  
Polyharmonic Functions ◽  
Superharmonic Functions ◽  
Martin Representation

Letube a super-biharmonic function, that is,Δ2u≥0, on the unit discDin the complex plane, satisfying certain conditions. Then it has been shown thatuhas a representation analogous to the Poisson-Jensen representation for subharmonic functions onD. In the same vein, it is shown here that a functionuon any Green domainΩin a Riemannian manifold satisfying the conditions(−Δ)iu≥0for0≤i≤mhas a representation analogous to the Riesz-Martin representation for positive superharmonic functions onΩ.

scholarly journals Integration of polyharmonic functions

1996 ◽  
Vol 65 (215) ◽  
pp. 1269-1282 ◽  
Author(s):  
Dimitar K. Dimitrov
Keyword(s):  
Polyharmonic Functions

scholarly journals Boundary Representations of λ-Harmonic and Polyharmonic Functions on Trees

2018 ◽  
Vol 51 (4) ◽  
pp. 541-561 ◽  
Author(s):  
Massimo A. Picardello ◽  
Wolfgang Woess
Keyword(s):  
Polyharmonic Functions ◽  
Boundary Representations

The Mixed Norm Spaces of Polyharmonic Functions

2007 ◽  
Vol 27 (2) ◽  
pp. 167-182 ◽  
Author(s):  
Zhangjian Hu ◽  
Miroslav Pavlović ◽  
Xuejun Zhang
Keyword(s):  
Mixed Norm ◽  
Mixed Norm Spaces ◽  
Polyharmonic Functions

scholarly journals A Goursat Decomposition for Polyharmonic Functions in Euclidean Space

2012 ◽  
Vol 22 (3) ◽  
pp. 563-575
Author(s):  
Fred Brackx ◽  
Richard Delanghe ◽  
Hennie De Schepper ◽  
Vladimir Souček
Keyword(s):  
Euclidean Space ◽  
Polyharmonic Functions

scholarly journals Polyharmonic functions with negative coefficients

2017 ◽  
Vol 17 (04) ◽  
pp. 437-447
Author(s):  
K. Al-Shaqsi ◽  
R. Al-Khal
Keyword(s):  
Polyharmonic Functions
Sign in / Sign up

Export Citation Format

Share Document