Criterion for ellipticity on Heisenberg group

Author:

Zanin Dmitriy

Abstract

AbstractWe provide a semi-constructive criterion for ellipticity of the differential operator on the Heisenberg group $$\mathbb {H}^1.$$ H 1 .

Funder

Australian Research Council

University of New South Wales

Publisher

Springer Science and Business Media LLC

Reference6 articles.

1. Fischer, V., Ruzhansky, M.: Quantization on Nilpotent Lie Groups. Progr. Math., vol. 314. Birkhäuser/Springer, Cham (2016)

2. Folland, G.: Subelliptic estimates and function spaces on nilpotent Lie groups. Ark. Mat. 13(2), 161–207 (1975)

3. Folland, G., Stein, E.: Hardy Spaces on Homogeneous Groups. Math. Notes, vol. 28. Princeton University Press, Princeton (1982)

4. Helffer, B., Nourrigat, J.: Hypoellipticité Maximale Pour des Opérateurs Polynômes de Champs de Vecteurs. Progr. Math., vol. 58. Birkhäuser Boston Inc., Boston (1985)

5. Liu, S., McDonald, E., Sukochev, F., Zanin, D.: Weyl asymptotic formula in the nilpotent Lie group setting. (submitted manuscript)

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