SPECTRAL ASYMMETRY, ZETA FUNCTIONS, AND THE NONCOMMUTATIVE RESIDUE

DOI10.1142/S0129167X06003825zbMath1127.58030arXivmath/0310102OpenAlexW2171985599MaRDI QIDQ3421586

Raphaël Ponge

Publication date: 7 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0310102

zbMATH Keywords

zeta and eta functionsresidue traceodd class pseudodifferential operator

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 (13)

ON THE SINGULARITIES OF THE ZETA AND ETA FUNCTIONS OF AN ELLIPTIC OPERATOR ⋮ Uniqueness of multiplicative determinants on elliptic pseudodifferential operators ⋮ Refined analytic torsion as an element of the determinant line ⋮ On the η-function for bisingular pseudodifferential operators ⋮ Noncommutative residue of projections in Boutet de Monvel's calculus ⋮ The multiplicative anomaly for determinants revisited; locality ⋮ Noncommutative residue for Heisenberg manifolds. Applications in CR and contact geometry ⋮ BASIC FUNCTIONAL ANALYSIS PUZZLES OF SPECTRAL FLOW ⋮ Perturbation of sectorial projections of elliptic pseudo-differential operators ⋮ The regularity of the \(\eta \) function for the Shubin calculus ⋮ The invertible double of elliptic operators ⋮ The Calderón projection: New definition and applications ⋮ Topological calculation of the phase of the determinant of a non self-adjoint elliptic operator

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