On the spectral estimates for the Schrödinger operator on ℤ d , d ≽ 3

Author:

Rozenblum Grigori,Solomyak Michael

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference19 articles.

1. G. Rozenblum and M. Solomyak, “Counting Schrödinger boundstates: semiclassics and beyond,” In: Sobolev Spaces in Mathematics. II. Applications in Analysis and Partial Differential Equations, International Mathematical Series 9, Springer and Tamara Rozhkovskaya Publisher (2009), pp. 329–354.

2. M. Sh. Birman and M. Solomyak, “Quantitative analysis in Sobolev imbedding theorems and applications to spectral theory” [in Russian], In: Tenth Math. School, Izd. Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev (1974), pp. 5–189; English transl.: Am. Math. Soc. Transl. (2) 114 (1980).

3. M. Sh. Birman and M. Solomyak, “Estimates for the number of negative eigenvalues of the Schrödinger operator and its generalizations,” Adv. Soviet Math. 7, 1–55 (1991).

4. Am. Math. Soc. Transl. Ser. 2;MS Birman,1992

5. D. Levin and M. Solomyak, “Rozenblum–Lieb–Cwikel inequality for Markov generators,” J. Anal. Math. 71, 173–193 (1997).

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