Potentiels et attracteurs d’un système dynamique

Chapters in this book

1. I-IV I
2. Preface V
3. Contents VII
4. Invited Lectures
5. Recollections, reflections, results – Introductory thoughts to the ICPT 1994 1
6. Constructions of Dirichlet structures 9
7. Les processus mentaux de la création 27
8. Harmonic approximation 51
9. Restricted mean value property and harmonic functions 67
10. Approximation properties of harmonic vector fields and differential forms 91
11. Nonlinear potentials and quasilinear PDE’s 103
12. Removability, geometric measure theory, and singular integrals 129
13. Bernstein-Walsh type theorems for pluriharmonic functions 147
14. Potentials for the Dirichlet problem in Lipschitz domains 167
15. Dirichlet problem at infinity for harmonic functions on graphs 189
16. Contributed Papers
17. Quasiadditivity and measure property of capacity and the tangential boundary behavior of harmonic functions 219
18. The Riesz–Herglotz representation for positive harmonic functions via Choquet’s theorem 229
19. Spherical harmonics and applications associated with the Weinstein operator 233
20. On a mean value property associated with the Weinstein operator 243
21. Once more about the semipolar sets and regular excessive functions 255
22. Duality for semi-dynamical systems 275
23. Removable singularities for Hardy spaces in sub domains of ℂ 287
24. Approximation by harmonic functions 297
25. Generalized radial limits and the best approach to boundaries 303
26. Dilation operators in excessive structures; existence and uniqueness 311
27. On the harmonic morphism for the Kolmogorov type operators 341
28. Potentiels et attracteurs d’un système dynamique 359
29. Various approaches to the Dirichlet problem for non-local operators satisfying the positive maximum principle 367
30. Estimates for eigenvalues of the Laplacian 377
31. Fine A-supersolutions and finely A-superharmonic functions 383
32. Remarks on modified Clifford analysis 389
33. Electric fields in domains with complicated structure 399
34. Renormalization on fractals 413
35. Estimates for the density of the area integral 423
36. Tensor product of standard Η-cones and duality 433
37. An example of packing related small sets 443
38. On the domain of the generator of a subordinate semigroup 449
39. The double layer potentials for a bounded domain with fractal boundary 463
40. PROBLEMS
41. The Pompeiu property for spherical polygons 473
42. Appendices
43. List of lectures 489
44. List of participants 493