Refined Weyl Law for Homogeneous Perturbations of the Harmonic Oscillator

Author:

Doll Moritz,Gannot Oran,Wunsch Jared

Funder

Deutsche Forschungsgemeinschaft

NSF

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference22 articles.

1. Asada K., Fujiwara D.: On some oscillatory integral transformations in $${L^{2}({\bf R}^{n})}$$ L 2 ( R n ) . Jpn. J. Math. (N.S.) 4(2), 299–361 (1978)

2. Doi, S.: Singularities of solutions of Schrödinger equations for perturbed harmonic oscillators, Hyperbolic problems and related topics, Grad. Ser. Anal, pp. 185–199. International Press, Somerville (2003)

3. Duistermaat, J.J., Guillemin, V.W.: The spectrum of positive elliptic operators and periodic bicharacteristics, Invent. Math. 29(1), 39–79 (1975). https://dx.doi.org/10.1007/BF01405172

4. Gureev, T.E., Yu. G.: Safarov, Exact spectral asymptotics for the Laplace operator on a manifold with periodic geodesics, Trudy Mat. Inst. Steklov. vol. 179, pp. 36–53 (1988) 241 (Russian). Translated in Proc. Steklov Inst. Mth. vol. 1989, no. 2, pp. 35–53; Boundary value problems of mathematical physics, 13 (Russian)

5. Helffer, B.: Théorie spectrale pour des opérateurs globalement elliptiques, Astérisque, vol. 112, Société Mathématique de France, Paris (1984) (French). With an English summary

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