Wave front sets of Riesz type on Minkowski space

This paper focuses on constructing an O (1, 3)-invariant oscillatory integral on Minkowski space. We then proceed to calculate the wave front set of this operator. Additionally, we provide a detailed computation of the cut-off functions compactly supported in Minkowski space.

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Bibliographic Details
Published in:Journal of pseudo-differential operators and applications 2024-06, Vol.15 (2), Article 34
Main Authors: Fan, Xingya, Dai, Jingang, He, Jianxun
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Functional Analysis
Mathematical analysis
Mathematics
Mathematics and Statistics
Minkowski space
Operator Theory
Operators (mathematics)
Partial Differential Equations
Wave fronts
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Description
Summary:This paper focuses on constructing an O (1, 3)-invariant oscillatory integral on Minkowski space. We then proceed to calculate the wave front set of this operator. Additionally, we provide a detailed computation of the cut-off functions compactly supported in Minkowski space.
ISSN:1662-9981
1662-999X
DOI:10.1007/s11868-024-00605-2