Heisenberg Calculus and Spectral Theory of Hypoelliptic Operators on Heisenberg Manifolds

Heisenberg Calculus and Spectral Theory of Hypoelliptic Operators on Heisenberg Manifolds
Author: Raphael Ponge
Publisher: American Mathematical Soc.
Total Pages: 150
Release: 2008
Genre: Mathematics
ISBN: 0821841483
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This memoir deals with the hypoelliptic calculus on Heisenberg manifolds, including CR and contact manifolds. In this context the main differential operators at stake include the Hormander's sum of squares, the Kohn Laplacian, the horizontal sublaplacian, the CR conformal operators of Gover-Graham and the contact Laplacian. These operators cannot be elliptic and the relevant pseudodifferential calculus to study them is provided by the Heisenberg calculus of Beals-Greiner andTaylor.


Heisenberg Calculus and Spectral Theory of Hypoelliptic Operators on Heisenberg Manifolds
Language: en
Pages: 150

Heisenberg Calculus and Spectral Theory of Hypoelliptic Operators on Heisenberg Manifolds

Authors: Raphael Ponge
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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This memoir deals with the hypoelliptic calculus on Heisenberg manifolds, including CR and contact manifolds. In this context the main differential operators at
Motives, Quantum Field Theory, and Pseudodifferential Operators
Language: en
Pages: 361

Motives, Quantum Field Theory, and Pseudodifferential Operators

Authors: Alan L. Carey
Categories: Mathematics
Type: BOOK - Published: 2010 - Publisher: American Mathematical Soc.

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This volume contains articles related to the conference ``Motives, Quantum Field Theory, and Pseudodifferntial Operators'' held at Boston University in June 200
Twisted Pseudodifferential Calculus and Application to the Quantum Evolution of Molecules
Language: en
Pages: 96

Twisted Pseudodifferential Calculus and Application to the Quantum Evolution of Molecules

Authors: AndrĀŽ Martinez
Categories: Mathematics
Type: BOOK - Published: 2009-06-05 - Publisher: American Mathematical Soc.

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The authors construct an abstract pseudodifferential calculus with operator-valued symbol, suitable for the treatment of Coulomb-type interactions, and they app
The Stable Manifold Theorem for Semilinear Stochastic Evolution Equations and Stochastic Partial Differential Equations
Language: en
Pages: 120

The Stable Manifold Theorem for Semilinear Stochastic Evolution Equations and Stochastic Partial Differential Equations

Authors: Salah-Eldin Mohammed
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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The main objective of this paper is to characterize the pathwise local structure of solutions of semilinear stochastic evolution equations and stochastic partia
Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints
Language: en
Pages: 84

Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints

Authors: Sergiu Aizicovici
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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In this paper the authors examine the degree map of multivalued perturbations of nonlinear operators of monotone type and prove that at a local minimizer of the