Microlocal properties of Shubin pseudodifferential and localization\n operators

2015/08/10 by René Schulz, Schulz, René, Patrik Wahlberg +1 · 1 citation
Engineering · Mathematics · #35A18 #35A22 #35A27 #35S05 #42B37 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Numerical methods in inverse problems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1508.02331

openalex publication_date 2015/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate global microlocal properties of localization operators and\nShubin pseudodifferential operators. The microlocal regularity is measured in\nterms of a scale of Shubin-type Sobolev spaces. In particular, we prove\nmicrolocality and microellipticity of these operators.\n

Cited by

• Dynamical restriction for Schrödinger equations

Related

• Microlocal analysis of quasianalytic Gelfand-Shilov type ultradistributions
• m-Microlocal elliptic pseudodifferential operators acting on L^p_{\rm loc}(Ω)
• Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients
• Inhomogeneous microlocal propagation of singularities in Fourier Lebesgue spaces
• Anisotropic global microlocal analysis for tempered distributions