On the relationship between the semiclassical and standard pseudodifferential algebras

In this short paper we discuss the precise relationship between the semiclassical and standard pseudodifferential algebras and explore implications such as for large spectral parameter elliptic estimates, even in the case of pseudodifferential spectral familes. We also explain the connection between second microlocalization and this relationship.

Publication Details

Journal
ArXiv.org
Published
2025-08-27
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

On the relationship between the semiclassical and standard pseudodifferential algebras

ArXiv.org
Geochemistry and Geologic Mapping
article

On the relationship between the semiclassical and standard pseudodifferential algebras

article en

Abstract

In this short paper we discuss the precise relationship between the semiclassical and standard pseudodifferential algebras and explore implications such as for large spectral parameter elliptic estimates, even in the case of pseudodifferential spectral familes. We also explain the connection between second microlocalization and this relationship.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 60%
Geochemistry and Geologic Mapping
Open Access PDFOpenAlex
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On the relationship between the semiclassical and standard pseudodifferential algebras · ArXiv.org (2025) | TGRS Research Map | TGRS