Lévy Processes, Pseudo-differential Operators and Dirichlet Forms in the Heisenberg Group

Annales de la faculté des sciences de Toulouse Mathématiques ◽

10.5802/afst.1067 ◽

2004 ◽

Vol 13 (2) ◽

pp. 149-177 ◽

Author(s):

David Applebaum ◽

Serge Cohen

Keyword(s):

Heisenberg Group ◽

Lévy Processes ◽

Differential Operators ◽

Dirichlet Forms ◽

Levy Processes ◽

Pseudo Differential Operators

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An Lp-theory for stochastic partial differential equations driven by Lévy processes with pseudo-differential operators of arbitrary order

Stochastic Processes and their Applications ◽

10.1016/j.spa.2016.03.001 ◽

2016 ◽

Vol 126 (9) ◽

pp. 2761-2786 ◽

Author(s):

Ildoo Kim ◽

Kyeong-Hun Kim

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Stochastic Partial Differential Equations ◽

Lévy Processes ◽

Differential Operators ◽

Arbitrary Order ◽

Levy Processes ◽

Partial Differential ◽

Pseudo Differential Operators ◽

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Pseudo-differential operators associated with Lévy processes

Beyond the Triangle ◽

10.1142/9789813230927_0004 ◽

2018 ◽

pp. 41-61

Keyword(s):

Lévy Processes ◽

Differential Operators ◽

Levy Processes ◽

Pseudo Differential Operators

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Dirichlet Forms Methods for Poisson Point Measures and Lévy Processes

10.1007/978-3-319-25820-1 ◽

2015 ◽

Author(s):

Nicolas Bouleau ◽

Laurent Denis

Keyword(s):

Lévy Processes ◽

Dirichlet Forms ◽

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Feller semigroups, Dirichlet forms, and pseudo differential operators

Forum Mathematicum ◽

10.1515/form.1992.4.433 ◽

1992 ◽

Vol 4 (4) ◽

Author(s):

Niels Jacob

Keyword(s):

Differential Operators ◽

Dirichlet Forms ◽

Feller Semigroups ◽

Pseudo Differential Operators

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A class of elliptic pseudo differential operators generating symmetric Dirichlet forms

Potential Analysis ◽

10.1007/bf00269508 ◽

1992 ◽

Vol 1 (3) ◽

pp. 221-232 ◽

Author(s):

Niels Jacob

Keyword(s):

Differential Operators ◽

Dirichlet Forms ◽

Pseudo Differential Operators

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Pseudo-differential operators on the Heisenberg group

Progress in Mathematics - Quantization on Nilpotent Lie Groups ◽

10.1007/978-3-319-29558-9_6 ◽

2016 ◽

pp. 427-489

Author(s):

Veronique Fischer ◽

Michael Ruzhansky

Keyword(s):

Heisenberg Group ◽

Differential Operators ◽

Pseudo Differential Operators

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Upper bounds and conservativeness for semigroups associated with a class of Dirichlet forms generated by pseudo differential operators

Forum Mathematicum ◽

10.1515/form.1996.8.107 ◽

1996 ◽

Vol 8 (8) ◽

Author(s):

Walter Hoh ◽

Niels Jacob

Keyword(s):

Differential Operators ◽

Dirichlet Forms ◽

Upper Bounds ◽

Pseudo Differential Operators

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Dirichlet Forms for Poisson Measures and Lévy Processes: The Lent Particle Method

Stochastic Analysis with Financial Applications ◽

10.1007/978-3-0348-0097-6_1 ◽

2011 ◽

pp. 3-20 ◽

Author(s):

Nicolas Bouleau ◽

Laurent Denis

Keyword(s):

Lévy Processes ◽

Particle Method ◽

Dirichlet Forms ◽

Levy Processes ◽

Poisson Measures

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On the Feller property of Dirichlet forms generated by pseudo differential operators

Tohoku Mathematical Journal ◽

10.2748/tmj/1192117985 ◽

2007 ◽

Vol 59 (3) ◽

pp. 401-422 ◽

Author(s):

René L. Schilling ◽

Toshihiro Uemura

Keyword(s):

Differential Operators ◽

Dirichlet Forms ◽

Feller Property ◽

Pseudo Differential Operators

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Non-local (semi-) Dirichlet forms generated by pseudo differential operators

Dirichlet Forms and Stochastic Processes ◽

10.1515/9783110880052.223 ◽

2012 ◽

Author(s):

Niels Jacob

Keyword(s):

Differential Operators ◽

Dirichlet Forms ◽

Pseudo Differential Operators ◽

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