Propagation of Shubin-Sobolev singularities of Weyl-quantizations of complex quadratic forms

2025/03/26 by Marcello Malagutti, Alberto Parmeggiani, Malagutti, Marcello +3 · 2 citations
Mathematics · Medicine · #Advanced Algebra and Geometry #Mathematical Analysis and Transform Methods #Medical Imaging Techniques and Applications

paper · pdf · doi:10.48550/arxiv.2503.20955

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 diffusive part given by a Weyl-quantization of a complex quadratic form on the phase space.

Cited by

• Resolvent trace asymptotics for operators in the Shubin class
• On the microlocal phase space concentration of Schrödinger evolutions

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