Invariant local Dirichlet forms on locally compact groups
Alexander Bendikov; Laurent Saloff-Coste[1]
- [1] Cornell University, department of mathematics, Malott Hall, Ithaca NY 14853-4201 (USA)
Annales de la Faculté des sciences de Toulouse : Mathématiques (2002)
- Volume: 11, Issue: 3, page 303-349
- ISSN: 0240-2963
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topBendikov, Alexander, and Saloff-Coste, Laurent. "Invariant local Dirichlet forms on locally compact groups." Annales de la Faculté des sciences de Toulouse : Mathématiques 11.3 (2002): 303-349. <http://eudml.org/doc/73581>.
@article{Bendikov2002,
affiliation = {Cornell University, department of mathematics, Malott Hall, Ithaca NY 14853-4201 (USA)},
author = {Bendikov, Alexander, Saloff-Coste, Laurent},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {infinite-dimensional locally compact group; local Dirichlet space; projection structure; continuous density; estimation},
language = {eng},
number = {3},
pages = {303-349},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Invariant local Dirichlet forms on locally compact groups},
url = {http://eudml.org/doc/73581},
volume = {11},
year = {2002},
}
TY - JOUR
AU - Bendikov, Alexander
AU - Saloff-Coste, Laurent
TI - Invariant local Dirichlet forms on locally compact groups
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2002
PB - UNIVERSITE PAUL SABATIER
VL - 11
IS - 3
SP - 303
EP - 349
LA - eng
KW - infinite-dimensional locally compact group; local Dirichlet space; projection structure; continuous density; estimation
UR - http://eudml.org/doc/73581
ER -
References
top- [1] Bendikov ( A.). - Potential Theory on Infinite Dimensional Abelian Groups, Walter De Gruyter & Co., Berlin-New York, 1995. Zbl0869.31001
- [2] Bendikov ( A.). - Symmetric stable semigroups on the infinite dimensional torus, Expo. Math., 13 (1995), 39-79. Zbl0835.31009MR1339813
- [3] Bendikov ( A.), Saloff-Coste ( L.). - Theorie du potentiel sur les produits infinis et les groupes localement compacts, C. R. Acad. Sci.Paris, Série I, 324 (1997), 777-782. Zbl0871.31007MR1446579
- [4] Bendikov ( A.), Saloff-Coste ( L.). - Elliptic diffusions on infinite products, J. reine angew. Math., 493 (1997), 171-220. Zbl0887.58061MR1491812
- [5] Bendikov ( A.), Saloff-Coste ( L.). - Potential theory on infinite products and groups, Potential Analysis, 11 (1999), 325-358. Zbl0953.47029MR1719845
- [6] Bendikov ( A.), Saloff-Coste ( L.). — On- and off-diagonal heat kernel behaviors on certain infinite dimensional local Dirichlet spaces, Amer. J. Math., 122 (2000), 1205-1263. Zbl0969.31008MR1797661
- [7] Bendikov ( A.), Saloff-Coste ( L.). - Central Gaussian semigroups of measures with continuous density, J. Funct. Anal., 186 (2001), 206-268. Zbl0989.43002MR1863298
- [8] Bendikov ( A.), Saloff-Coste ( L.). - On the absolute continuity of Gaussian measures on locally compact groups, J. Theoret. Prob., 14 (2001), 887-898. Zbl0997.43002MR1860528
- [9] Berestovskii ( V.W.), Plaut ( C.). - Homogeneous spaces of curvature bounded below, J. Geom. Anal., 9 (1999), 203-219. Zbl1009.53038MR1759445
- [10] Bingham ( N.H.), Goldie ( C.M.), Teugels ( J.L.). - Regular Variation, Encyclopedia of Mathematics and its Applications, 27, Cambridge University Press (1989). Zbl0667.26003MR1015093
- [11] Biroli ( M.), Mosco ( U.). - Formes de Dirichlet et estimations stucturelles dans les milieux discontinus, C.R. Acad. Sci.Paris, 313 (1991), 593-598. Zbl0760.49004MR1133491
- [12] Bony ( J.M.).— Opérateurs elliptiques dégénérés associés aux axiomatiques de la théorie du potentiel, In: Potential Theory, C.I.M.E. (Stresa, 1969), Rome, 1970. Zbl0205.10704MR277744
- [13] Born ( E.). - Projective Lie Algebra Bases of a Locally Compact Group and Uniform Differentiability, Math. Zeit., 200 (1989), 279-292. Zbl0645.22002MR978301
- [14] Born ( E.). — An Explicit Lévy-Hinčin Formula for Convolution Semigroups on Locally Compact Groups, J. Theor. Prob., 2 (1989), 325-342. Zbl0678.60010MR996994
- [15] Davies ( E.B.). - Heat kernels and spectral theory, Cambridge University Press, 1989. Zbl0699.35006MR990239
- [16] Deny ( J.). - Méthodes hilbertiennes en théorie du potentiel, In: Potential Theory, C.I.M.E. (Stresa, 1969), Rome, 1970. Zbl0212.13401MR284609
- [17] Iwasawa ( K.). - On some types of topological groups, Ann. Math., 50 (1949), 507-558. Zbl0034.01803MR29911
- [18] Fukushima ( M.). - Local property of Dirichlet forms and continuity of sample paths, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 29 (1974), 1-6. Zbl0283.60067MR365726
- [19] Fukushima ( M.), Oshima ( Y.), Takeda ( M.). - Dirichlet forms and Symmetric Markov processes, W. De Gruyter, 1994. Zbl0838.31001MR1303354
- [20] Glushkov ( V.N.). - The structure of locally compact groups and Hilbert's Fifth Problem, AMS Translations, 15 (1960), 55-94. Zbl0090.02006
- [21] Hewitt ( E.), Ross ( K.). - Abstract Harmonic Analysis, Vol I & II, Springer, 1963. Zbl0115.10603
- [22] Heyer ( H.). - Probability Measures on Locally Compact Groups, Ergeb. der Math. und ihren Grenzgeb.94, Springer, Berlin-Heidelberg-New York, 1977. Zbl0376.60002MR501241
- [23] Hunt ( G.A.). - Semi-groups of measures on Lie groups, Trans. Amer. Math. Soc., 81 (1956), 264-293. Zbl0073.12402MR79232
- [24] Nagel ( A.), Stein ( E.), Wainger ( S.). - Balls and metrics defined by vector fields, Acta Math., 155 (1985), 103-147. Zbl0578.32044MR793239
- [25] Saloff-Coste ( L.). - A note on Poincaré, Sobolev and Harnack inequalities, Duke Math. J., IMRN, 2 (1992), 27-38. Zbl0769.58054MR1150597
- [26] Siebert ( E.). - Absolute continuity, singularity and supports of Gaussian semigroups on a Lie group, Monatshefte für Math., 93 (1982), 239-253. Zbl0477.60008MR661571
- [27] Sturm ( K-T.). - On the geometry defined by Dirichlet forms, Seminar on Stochastic Analysis, Random Fields and Applications (Ascona, 1993), 231-242, Progr. Probab., 36, Birkhäuser, Basel, 1995. Zbl0834.58039MR1360279
- [28] Varopoulos ( N.), Saloff-Coste ( L.), Coulhon ( T.). - Analysis and geometry on groups, Cambridge University Press, 1993. Zbl0813.22003MR1218884
- [29] Weil ( A.). - L'intégration sur les groupes topologiques et ses applications, Actualités scientifiques et industrilles, 869, Hermann, Paris, 1940. Zbl0063.08195JFM66.1205.02
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