𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Solvability of Homogeneous Left-Invariant Differential Operators on the Heisenberg Group

✍ Scribed by Detlef Müller; Marco M. Peloso; Fulvio Ricci

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
326 KB
Volume
148
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

✦ Synopsis

We discuss the problem of solvability for the class of homogenoeus left-invariant operators g S, : on the Heisenberg group H n introduced by F.

📜 SIMILAR VOLUMES

Solvability on the Heisenberg group
Solvability on the Heisenberg group
✍ G. Eremiev Karadzhov 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 184 KB

## Abstract We solve in various spaces the linear equations __L~α~g__ = __f__ , where __L~α~__ belongs to a class of transversally elliptic second order differential operators on the Heisenberg group with double characteristics and complex‐valued coefficients, not necessarily locally solvable. (© 2

Classification of Left-Covariant Differe
Classification of Left-Covariant Differential Calculi on the Quantum Group SLq(2)
✍ István Heckenberger 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 245 KB

For transcendental values of q the quantum tangent spaces of all left-covariant first order differential calculi of dimension less than four on the quantum group SL q 2 are given. All such differential calculi are determined and investigated for which the left-invariant differential one-forms ω u 1

On the Local Operator Commutation Relati
On the Local Operator Commutation Relations and Extensions of Locally Defined Positive Definite Functions on the Heisenberg Group
✍ Ramón Bruzual; Marisela Domı́nguez 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 92 KB

It is proved that if a group of unitary operators and a local semigroup of isometries satisfy the Weyl commutation relations then they can be extended to groups of unitary operators which also satisfy the commutation relations. As an application a result about the extension of a class of locally def