ON THE SINGULARITIES OF THE ZETA AND ETA FUNCTIONS OF AN ELLIPTIC OPERATOR

DOI10.1142/S0129167X11007616zbMath1256.58010arXiv1010.4039OpenAlexW2025851921WikidataQ125288682 ScholiaQ125288682MaRDI QIDQ2888818

Paul Loya, Sergiu Moroianu, Raphaël Ponge

Publication date: 4 June 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.4039

zbMATH Keywords

singularityelliptic operatorpseudodifferential operatorcompact Riemannian manifoldHermitian vector bundlenoncommutative residueeta function, zeta function

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Pseudodifferential and Fourier integral operators on manifolds (58J40) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (1)

Noncommutative geometry and conformal geometry. II: Connes-Chern character and the local equivariant index theorem

Cites Work

• Unnamed Item
• Traces on pseudodifferential operators and sums of commutators
• The residue of the global eta function at the origin
• Residues of the eta function for an operator of Dirac type
• Residue traces for certain algebras of Fourier integral operators
• Gauged Lagrangian distributions
• The Dirac operator and gravitation
• The Campbell-Hausdorff theorem for elliptic operators and a related trace formula
• A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
• Noncommutative geometry and lower dimensional volumes in Riemannian geometry
• SPECTRAL ASYMMETRY, ZETA FUNCTIONS, AND THE NONCOMMUTATIVE RESIDUE
• An Index Theorem for First Order Regular Singular Operators
• Spectral asymmetry and Riemannian Geometry. I
• Spectral asymmetry and Riemannian geometry. III
• Uniqueness of multiplicative determinants on elliptic pseudodifferential operators

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