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Relying on the known two-term quasiclassical asymptotic formula for the trace of the function $f(A)$ of a Wiener-Hopf type operator $A$ in dimension one, in 1982 H.
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1987
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M. A. Shubin, Pseudodifferential operators and spectral theory , Springer Series in Soviet Mathematics, Springer-Verlag, Berlin, 1987
1987
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H. Widom, On a class of integral operators on a half-space with discontinuous symbol , J. Funct. Anal. 88
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M.Sh. Birman, G.E. Karadzhov, M.Z. Solomyak, Boundedness conditions and spectrum estimates for the operators b ( X ) a ( D ) b(X)a(D) and their analogs , Estimates and asymptotics for discrete spectra of integral and differential equations (Leningrad, 1989–90), 85–106, Adv. Soviet Math., 7, Amer. Math. Soc., Providence, RI, 1991
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L.C. Evans, R.F. Gariepy, Measure Theory and Fine Properties of Functions , CRC Press, 1992
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A. Laptev, Yu. Safarov, A generalization of the Berezin-Lieb inequality , Contemporary Mathematical Physics, 69–79, Amer. Math. Soc. Transl. Ser. 2, 175, Amer. Math. Soc., Providence, RI, 1996
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2005
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D. Gioev, Szegő Limit Theorem for operators with discontinuous symbols and applications to entanglement entropy , (2006) IMRN, article ID 95181, 23 pages
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D. Gioev, I. Klich, Entanglement Entropy of fermions in any dimension and the Widom Conjecture , Phys. Rev. Lett. 96
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J. Toft, Schatten-von Neumann properties in the Weyl calculus and calculus of metrics on symplectic vectore spaces , Ann. Global Anal. Geom. 30
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G. Arsu, On Schatten-von Neumann class properties of pseudodifferential operators. The Cordes-Kato method , J. Operator Theory 59
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F. Concetti, J. Toft, Schatten-von Neumann properties for Fourier integral operators with non-smooth symbols. I , Ark. Mat. 47
2009
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R.C. Helling, H. Leschke, W.L. Spitzer, A special case of a conjecture by widom with implications to fermionic entanglement entropy , Int Math Res Notices, Advance Access published on June 21, 2010; doi:10.1093/imrn/rnq085
2010
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