Wiener-Hopf operators in higher dimensions: the Widom conjecture for piece-wise smooth domains
arXiv:1312.1835 · doi:10.1007/s00020-014-2185-2
Abstract
We prove a two-term quasi-classical trace asymptotic formula for the functions of multi-dimensional Wiener-Hopf operators with discontinuous symbols. The discontinuities occur on the surfaces which are assumed to be piece-wise smooth. Such a two-term formula was conjectured by H. Widom in 1982, and proved by A. V Sobolev for smooth surfaces in 2009.
15 pages
References in corpus (2)
Cited by in corpus (18)
- Rényi generalization of the operational entanglement entropy
- Scaling of Rényi entanglement entropies of the free Fermi-gas ground state: a rigorous proof
- Symmetry resolved entanglement: Exact results in 1D and beyond
- Stable computation of entanglement entropy for 2D interacting fermion systems
- Functions of self-adjoint operators in ideals of compact operators
- How much delocalisation is needed for an enhanced area law of the entanglement entropy?
- Large-scale behaviour of local and entanglement entropy of the free Fermi gas at any temperature
- Stability of the enhanced area law of the entanglement entropy
- Stability of a Szegő-type asymptotics
- The Widom-Sobolev formula for discontinuous matrix-valued symbols
- On a coefficient in trace formulas for Wiener-Hopf operators
- Trace formulas for Wiener--Hopf operators with applications to entropies of free fermionic equilibrium states
- Rényi entropies of the free Fermi gas in multi-dimensional space at high temperature
- Quasi-classical asymptotics for functions of Wiener-Hopf operators: smooth vs non-smooth symbols
- Enhanced area law in the Widom-Sobolev formula for the free Dirac operator in arbitrary dimension
- Entanglement entropies of an interval in the free Schrödinger field theory at finite density
- On the Szegő formulas for truncated Wiener-Hopf operators
- An enhanced term in the Szegő-type asymptotics for the free massless Dirac operator