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Zeta-function on a generalized cone

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Publication:1381929
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DOI10.1023/A:1007344724516zbMath0902.58044MaRDI QIDQ1381929

Guido Cognola, Sergio Zerbini

Publication date: 1 April 1998

Published in: Letters in Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

Laplace operatorzeta functionheat kernelconical singularityspectral geometry


Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16)


Related Items (8)

NONPLANAR CONTRIBUTION TO THE EFFECTIVE ACTION IN NONCOMMUTATIVE FLAT MANIFOLDS ⋮ Heat-kernel expansion on noncompact domains and a generalized zeta-function regularization procedure ⋮ ONE-LOOP EFFECTIVE POTENTIAL FOR SCALAR AND VECTOR FIELDS ON HIGHER-DIMENSIONAL NONCOMMUTATIVE FLAT MANIFOLDS ⋮ Exotic expansions and pathological properties of \(\zeta\)-functions on conic manifolds ⋮ Spectral analysis and zeta determinant on the deformed spheres ⋮ Functional determinants for general self-adjoint extensions of Laplace-type operators resulting from the generalized cone ⋮ Zeta function and regularized determinant on a disc and on a cone ⋮ Zeta determinants on cones and products




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