On the algebra of pseudodifferential operators which is generated by convolutions on the Heisenberg group
type: Item
instance of: scholarly article
title: On the algebra of pseudodifferential operators which is generated by convolutions on the Heisenberg group
zbMATH Open document ID: 0811.58058
DOI: 10.1007/BF00973470
published in: Siberian Mathematical Journal
publication date: 1994-11-08T00:00:00Z
review text: The author studies an algebra of pseudodifferential operators on the Heisenberg group, generated by convolutions and multiplication by functions. This algebra is invariant under contact morphisms and therefore can be extended to an arbitrary contact manifold. All irreducible representations of the algebra are described.
Mathematics Subject Classification ID: 58J40
Mathematics Subject Classification ID: 47G30
zbMATH DE Number: 652217
zbMATH Keywords: algebra of pseudodifferential operators
zbMATH Keywords: Heisenberg group
author: Vladimir V. Kisil
reviewed by: Georgi E. Karadzhov
MaRDI profile type: Publication
cites work: Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems. (MN-24)
cites work: Noncommutative microlocal analysis. I
cites work: Q3897569
full work available at URL: https://doi.org/10.1007/bf00973470
OpenAlex ID: W2033375756
description: scientific article; zbMATH DE number 652217