Reduction of the calculus of pseudodifferential operators on a noncompact manifold to the calculus on a compact manifold of doubled dimension

DOI10.1134/S0001434613090174zbMath1290.35357MaRDI QIDQ2436381

Yanyan Li

Publication date: 24 February 2014

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

zbMATH Keywords

Sobolev normFredholm operatorfiber bundleelliptic operatorpseudodifferential operatorSchwartz spacespace of sectionsAtya-Singer formula

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (3)

Geometric description of the Hochschild cohomology of group algebras ⋮ Correlation between the Hochschild cohomology and the Eilenberg-Mac Lane cohomology of group algebras from a geometric point of view ⋮ Reduction of nonlocal pseudodifferential operators on a noncompact manifold to classical pseudodifferential operators on a double-dimensional compact manifold

Cites Work

• Elliptic theory and noncommutative geometry. Nonlocal elliptic operators
• Pseudodifferential operators on \(R^ n\) with bounded symbols
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Reduction of the calculus of pseudodifferential operators on a noncompact manifold to the calculus on a compact manifold of doubled dimension