On functional determinants of Laplacians in polygons and simplicial complexes
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Publication:1338869
DOI10.1007/BF02099770zbMath0807.35102arXivhep-th/9304031MaRDI QIDQ1338869
Publication date: 1 March 1995
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9304031
General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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Cites Work
- Unnamed Item
- The resolvent expansion for second order regular singular operators
- The fundamental solutions of the heat equations on Riemannian spaces with cone-like singular points
- Conformal invariants for determinants of Laplacians on Riemann surfaces
- Extremals of determinants of Laplacians
- Instantons and fermions in the field of instanton
- Zeta function regularization of path integrals in curved spacetime
- Exact partition functions and correlation functions of multiple Hamiltonian walks on the Manhattan lattice.
- R-torsion and the Laplacian on Riemannian manifolds
- Relativistic Quantum Mechanics of One-Dimensional Mechanical Continuum and Subsidiary Condition of Dual Resonance Model
- Arithmetical degeneracies in simple quantum systems
- SIMPLE INTEGRABLE SYSTEMS, AND LIE ALGEBRAS
- On the spectral geometry of spaces with cone-like singularities
- Can One Hear the Shape of a Drum?
- Analytical and numerical study of a model of dynamically triangulated random surfaces