Defect measures on graded Lie groups

Clotilde Fermanian-Kammerer, Véronique Fischer

Research output: Contribution to journalArticlepeer-review

4 Citations (SciVal)


In this article, we define a generalisation ofmicrolocal defectmeasures (also known as H-measures) to the setting of graded nilpotent Lie groups. This requires to develop the notions of homogeneous symbols and classical pseudodifferential calculus adapted to this setting and defined via the representations of the groups. Our method relies on the study of the C*-algebra of 0-homogeneous symbols. Then, we compute microlocal defect measures for concentrating and oscillating sequences, which also requires to investigate the notion of oscillating sequences in graded Lie groups. Finally, we discuss compensated compactness approaches in the context of graded nilpotent Lie groups.

Original languageEnglish
Pages (from-to)207-291
Number of pages85
JournalAnnali della Scuola Normale Superiore di Pisa - Classe di Scienze
Publication statusPublished - 22 Dec 2020

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Mathematics (miscellaneous)


Dive into the research topics of 'Defect measures on graded Lie groups'. Together they form a unique fingerprint.

Cite this