On traces of Fourier integral operators on submanifolds

DOI10.1134/S0001434618090225zbMath1447.58027arXiv1801.02365OpenAlexW2963875600MaRDI QIDQ1731496

P. A. Sipailo

Publication date: 13 March 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.02365

zbMATH Keywords

Fourier integral operatorsquantized canonical transformationsrelative elliptic theorytrace of Lagrangian manifoldtraces of operators on submanifolds

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items

Traces of quantized canonical transformations on submanifolds and their applications to Sobolev problems with nonlocal conditions ⋮ Geodesic biangles and Fourier coefficients of restrictions of eigenfunctions ⋮ Sobolev problems with spherical mean conditions and traces of quantized canonical transformations

Cites Work

• On nonlocal Sobolev problems
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Traces of quantized canonical transformations localized on a finite set of points
• Elliptic translators on manifolds with point singularities
• Relative elliptic theory and the Sobolev problem
• Fourier integral operators and the canonical operator
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