Refine
Has Fulltext
- yes (53) (remove)
Year of publication
Document Type
- Preprint (53)
Language
- English (53)
Is part of the Bibliography
- no (53) (remove)
Keywords
- manifolds with singularities (6)
- index (4)
- pseudodifferential operators (4)
- 'eta' invariant (3)
- differential operators (3)
- Hodge theory (2)
- boundary value problems (2)
- elliptic complexes (2)
- elliptic operators (2)
- monodromy matrix (2)
- Beltrami equation (1)
- Capture into resonance (1)
- Dirichlet to Neumann operator (1)
- G-index (1)
- G-trace (1)
- Lefschetz number (1)
- Neumann problem (1)
- Nonlinear Laplace operator (1)
- Pseudodifferential operators (1)
- Quasiconformal mapping (1)
- Second order elliptic equations (1)
- Toeplitz operators (1)
- boundary value problem (1)
- boundary values problems (1)
- cohomology (1)
- de Rham complex (1)
- divisors (1)
- domains with singularities (1)
- fundamental solution (1)
- geometric optics approximation (1)
- integral formulas (1)
- manifolds with cusps (1)
- manifolds with edges (1)
- matching of asymptotic expansions (1)
- meromorphic family (1)
- non-coercive boundary conditions (1)
- pseudodifferential operator (1)
- relative cohomology (1)
- residue (1)
- root functions (1)
- small parameter (1)
- star product (1)
- symmetry group (1)
- weighted spaces (1)
- ∂-operator (1)
Institute
Given a system of entire functions in Cn with at most countable set of common zeros, we introduce the concept of zeta-function associated with the system. Under reasonable assumptions on the system, the zeta-function is well defined for all s ∈ Zn with sufficiently large components. Using residue theory we get an integral representation for the zeta-function which allows us to construct an analytic extension of the zeta-function to an infinite cone in Cn.