Zeta determinant and operator determinants

zbMath1222.58028MaRDI QIDQ531274

Mauro Spreafico

Publication date: 29 April 2011

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

Full work available at URL: https://projecteuclid.org/euclid.ojm/1300802703

zbMATH Keywords

zeta determinantspectral invariant

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (1)

The analytic torsion of a disc

Cites Work

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• Determinants of Laplacians
• Spectral functions, special functions and the Selberg zeta function
• Basic analysis of regularized series and products
• Zeta regularized products and functional determinants on spheres
• Zeta functions and regularized determinants on projective spaces
• R-torsion and the Laplacian on Riemannian manifolds
• Zeta invariants for sequences of spectral type, special functions and the Lerch formula
• The Asymptotics of the Determinant Function for a Class of Operators

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