Propagation of Shubin–Sobolev singularities of Weyl-quantizations of complex quadratic forms
Abstract The aim of this work is to develop the Hörmander microlocal theory in the isotropic framework and use the results we obtain to study the propagation of singularities for an evolution problem, with generator given by a Weyl-quantization of a complex quadratic form on the phase space.
Authors
- Marcello Malagutti (ORCID: https://orcid.org/0000-0003-2582-6354)
- Alberto Parmeggiani (ORCID: https://orcid.org/0000-0002-6234-0823)
- Davide Tramontana (ORCID: https://orcid.org/0009-0004-7286-0170)
Institutions
- University College London (GB)
- University of Bologna (IT)
Publication Details
- Journal
- Mathematische Annalen
- Published
- 2025-10-23
- DOI
- https://doi.org/10.1007/s00208-025-03247-x
- Primary Topic
- Mathematical Analysis and Transform Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Università di Bologna
- Engineering and Physical Sciences Research Council