# Sur la décomposition de Riesz et la représentation intégrale des fonctions finement surharmoniques

Sur la décomposition de Riesz et la représentation intégrale des fonctions finement... We define a natural topology on the cone $${\mathcal{S}}\left( U \right)$$ of non-negative finely superharmonic functions on a fine domain of R n which permits us to get the integral representation, we represent the invariant functions and apply this result to some questions of classical Potential theory. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

# Sur la décomposition de Riesz et la représentation intégrale des fonctions finement surharmoniques

, Volume 4 (2) – Oct 25, 2004
10 pages

/lp/springer_journal/sur-la-d-composition-de-riesz-et-la-repr-sentation-int-grale-des-hsNSeuVrRE
Publisher
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1023/A:1009869923566
Publisher site
See Article on Publisher Site

### Abstract

We define a natural topology on the cone $${\mathcal{S}}\left( U \right)$$ of non-negative finely superharmonic functions on a fine domain of R n which permits us to get the integral representation, we represent the invariant functions and apply this result to some questions of classical Potential theory.

### Journal

PositivitySpringer Journals

Published: Oct 25, 2004

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