Sharp Weyl estimates for tensor products of pseudodifferential operators

DOI10.1007/s10231-015-0490-2zbMath1342.35195arXiv1411.2133OpenAlexW3102032210MaRDI QIDQ292639

Sandro Coriasco, Massimo Borsero, Ubertino Battisti

Publication date: 8 June 2016

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.2133

zbMATH Keywords

Weyl's lawbisingular operatorstensor product of pseudodifferential operators

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Cites Work

• Fractal Weyl laws for asymptotically hyperbolic manifolds
• On the spectral asymptotics of operators on manifolds with ends
• Wodzicki residue for operators on manifolds with cylindrical ends
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Non-commutative residues for anisotropic pseudo-differential operators in \(\mathbb R^n\)
• On an extension of the Ikehara Tauberian theorem
• On the noncommutative residue and the heat trace expansion on conic manifolds
• Trace functionals for a class of pseudo-differential operators in \(\mathbb R^n\)
• Weyl asymptotics of bisingular operators and Dirichlet divisor problem
• A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
• Weyl asymptotics for tensor products of operators and Dirichlet divisors
• Weyl laws on open manifolds
• The spectral function of an elliptic operator
• The index of elliptic operators. I
• Globally Bisingular Elliptic Operators
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