Osaka Journal of Mathematics
- Osaka J. Math.
- Volume 48, Number 1 (2011), 41-50.
Zeta determinant and operator determinants
We apply techniques of zeta functions and regularized products theory to study the zeta determinant of a class of abstract operators with compact resolvent, and in particular the relation with other spectral functions.
Osaka J. Math., Volume 48, Number 1 (2011), 41-50.
First available in Project Euclid: 22 March 2011
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 58J52: Determinants and determinant bundles, analytic torsion
Secondary: 58J40: Pseudodifferential and Fourier integral operators on manifolds [See also 35Sxx] 11M36: Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. Explicit formulas
Spreafico, Mauro. Zeta determinant and operator determinants. Osaka J. Math. 48 (2011), no. 1, 41--50. https://projecteuclid.org/euclid.ojm/1300802703