Pseudo-differential operators with discontinuous symbols: Widom’s Conjecture
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Publication:4979158
DOI10.1090/S0065-9266-2012-00670-8zbMath1297.47054OpenAlexW2088413314MaRDI QIDQ4979158
Publication date: 17 June 2014
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0065-9266-2012-00670-8
Pseudodifferential operators as generalizations of partial differential operators (35S05) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Pseudodifferential operators (47G30)
Related Items (18)
Stability of a Szegő-type asymptotics ⋮ Quasi-classical asymptotics for functions of Wiener-Hopf operators: smooth versus non-smooth symbols ⋮ Full Szegő-type trace asymptotics for ergodic operators on large boxes ⋮ Entanglement entropy and Berezin-Toeplitz operators ⋮ How much delocalisation is needed for an enhanced area law of the entanglement entropy? ⋮ Formulas of Szegő type for the periodic Schrödinger operator ⋮ On Szegő formulas for truncated Wiener-Hopf operators ⋮ Rényi entropies of the free Fermi gas in multi-dimensional space at high temperature ⋮ Spectral deviation of concentration operators for the short-time Fourier transform ⋮ Two-term Szegő theorem for generalised anti-Wick operators ⋮ Stability of the enhanced area law of the entanglement entropy ⋮ Symmetry resolved entanglement: exact results in 1D and beyond ⋮ Asymptotic growth of the local ground-state entropy of the ideal Fermi gas in a constant magnetic field ⋮ Large block properties of the entanglement entropy of free disordered fermions ⋮ Wiener-Hopf operators in higher dimensions: the Widom conjecture for piece-wise smooth domains ⋮ On the Schatten-von Neumann properties of some pseudo-differential operators ⋮ Roe \(C^*\)-algebra for groupoids and generalized Lichnerowicz vanishing theorem for foliated manifolds ⋮ Trace formulas for Wiener-Hopf operators with applications to entropies of free fermionic equilibrium states
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