Heisenberg Calculus and Spectral Theory of Hypoelliptic Operators on Heisenberg Manifolds

By Raphael Ponge. 2005

96 citations recorded by the source corpus.

Introduction Heisenberg manifolds and their main differential operators Intrinsic approach to the Heisenberg calculus Holomorphic families of $\mathbf{\Psi_{H}}$DOs Heat equation and complex powers of hypoelliptic operators Spectral asymptotics for hypoelliptic operators Appendix A. Proof of Proposition 3.1.18 Appendix B. Proof of Proposition 3.1.21 Bibliography.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e4fefdefdeee0c2c6bff89a18e56f54288775167

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In Applied Mathematics

1. Veronique Fischer
2. Michael Ruzhansky
3. J. Delgado
4. Niyaz Tokmagambetov
5. Ville T. Turunen

In Mathematical Physics

1. Veronique Fischer
2. Michael Ruzhansky
3. J. Delgado
4. Niyaz Tokmagambetov
5. Durvudkhan Suragan

Citations in the corpus

• Quantization on Nilpotent Lie Groups (2016, background): “A recent advance in this direction mostly aimed at the second order operators on Heisenberg manifolds, with a more intrinsic notion of the principal symbol of such operators, was made by Ponge [Pon08].”