Reduction of nonlocal pseudodifferential operators on a noncompact manifold to classical pseudodifferential operators on a double-dimensional compact manifold

DOI10.1134/S0001434615030220zbMath1325.35298OpenAlexW2054881305MaRDI QIDQ2352603

Yanyan Li

Publication date: 3 July 2015

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

Full work available at URL: https://doi.org/10.1134/s0001434615030220

zbMATH Keywords

Schwartz spaceFredholmness criterionindex of elliptic pseudodifferential operatorsnonlocal pseudodifferential operator

Mathematics Subject Classification ID

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

Related Items (1)

Derivation algebra in noncommutative group algebras

Cites Work

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• Reduction of PDO calculus on a noncompact manifold to a double-dimensional compact manifold
• Limit operators and their applications in operator theory
• Reduction of the calculus of pseudodifferential operators on a noncompact manifold to the calculus on a compact manifold of doubled dimension
• Elliptic theory and noncommutative geometry. Nonlocal elliptic operators
• ON ELLIPTIC EQUATIONS
• $K$-theory of $\mathrm {SG}$-pseudo-differential algebras
• The index of elliptic operators on compact manifolds

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