On the representation of Dirichlet forms

Lars-Erik Andersson

Annales de l'institut Fourier (1975)

  • Volume: 25, Issue: 3-4, page 11-25
  • ISSN: 0373-0956

Abstract

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A general representation theorem is obtained for positive quadratic forms, defined on C 00 1 ( Ω ) (the space of continuously differentiable functions with compact support contained in Ω ⊂ R n ) which are local and on which all normal contractions operate.

How to cite

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Andersson, Lars-Erik. "On the representation of Dirichlet forms." Annales de l'institut Fourier 25.3-4 (1975): 11-25. <http://eudml.org/doc/74236>.

@article{Andersson1975,
abstract = {A general representation theorem is obtained for positive quadratic forms, defined on $C^1_\{00\}(\Omega )$ (the space of continuously differentiable functions with compact support contained in $\Omega \subset \{\bf R\}^n$) which are local and on which all normal contractions operate.},
author = {Andersson, Lars-Erik},
journal = {Annales de l'institut Fourier},
language = {eng},
number = {3-4},
pages = {11-25},
publisher = {Association des Annales de l'Institut Fourier},
title = {On the representation of Dirichlet forms},
url = {http://eudml.org/doc/74236},
volume = {25},
year = {1975},
}

TY - JOUR
AU - Andersson, Lars-Erik
TI - On the representation of Dirichlet forms
JO - Annales de l'institut Fourier
PY - 1975
PB - Association des Annales de l'Institut Fourier
VL - 25
IS - 3-4
SP - 11
EP - 25
AB - A general representation theorem is obtained for positive quadratic forms, defined on $C^1_{00}(\Omega )$ (the space of continuously differentiable functions with compact support contained in $\Omega \subset {\bf R}^n$) which are local and on which all normal contractions operate.
LA - eng
UR - http://eudml.org/doc/74236
ER -

References

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  1. [1] G. ALLAIN, Sur la représentation des formes de Dirichlet, Université Paris XI, Thèse de 3e cycle, Septembre 1973. 
  2. [2] L.-E. ANDERSSON, On the representation of Dirichlet forms, Report n° 6, 1974, Institut Mittag-Leffler. 
  3. [3] A. BEURLING and J. DENY, Dirichlet spaces, Proc. Nat. Ac. Sc., 45 (1959), 208-215. Zbl0089.08201MR21 #5098
  4. [4] J. DENY, Méthodes hilbertiennes en théorie du Potentiel, cours du C.I.M.E., 1969. Zbl0212.13401
  5. [5] J. DENY, Principe complet du maximum et contraction, Ann. Inst. Fourier, 15-1 (1965), 259-271. Zbl0144.15504MR32 #5913
  6. [6] I. M. GELFAND and N. Ya VILENKIN, Generalized functions, volume 4, Academic press, 1964. 
  7. [7] J. PEETRE, Rectification à l'article « une caractérisation abstraite des opérateurs différentiels », Math. Scand., 8 (1960), 116-120. Zbl0097.10402MR23 #A1923
  8. [8] L. SCHWARTZ, Théorie des distributions, Hermann, Paris, 1973. 

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