A noncommutative Tauberian theorem and Weyl asymptotics in noncommutative geometry

Author:

McDonald E.,Sukochev F.,Zanin D.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference62 articles.

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2. Bellissard, J.: $$K$$-theory of $$C^\ast $$-algebras in solid state physics. In: Statistical Mechanics and Field Theory: Mathematical Aspects (Groningen, 1985), Volume 257 of Lecture Notes in Physics, pp. 99–156. Springer, Berlin (1986)

3. Bellissard, J., van Elst, A., Schulz-Baldes, H.: The noncommutative geometry of the quantum Hall effect. J. Math. Phys. 35(10), 5373–5451 (1994)

4. Birman, M.S., Borzov, V.V.: The asymptotic behavior of the discrete spectrum of certain singular differential operators. Problems of mathematical physics, No. 5: spectral theory, pp. 24–38. Izdat. Leningrad. Univ., Leningrad (1971)

5. Birman, M.S., Solomyak, M.Z.: The principal term of the spectral asymptotics for “non-smooth’’ elliptic problems. Funktsional. Anal. i Prilozhen. 4(4), 1–13 (1970)

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1. Asymptotics of singular values for quantised derivatives on noncommutative tori;Journal of Functional Analysis;2023-09

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