# Preprints of the St. Petersburg Mathematical
Society

**2018**

**2018-01**

*Authors:* **Sten Kaijser; Oleg I. Reinov**

*Title:* **Some approximation properties and nuclear operators in spaces of analytical functions**

*Comments:* English, LaTeX, 18 pp.

*Subj-class:* **46B28**, *Secondary:* **46E15**

*Submitted:* 10.05.2018

Abstract, LaTeX, PDF

**2018-02**

*Author:* **Meshkova, Yu. M.**

*Title:* **On homogenization of the first initial-boundary value problem for periodic hyperbolic systems via the inverse Laplace transform**

*Comments:* Russian, LaTeX, 36 pp.

*Subj-class:* **35B27**, *Secondary:* **35L53**

*Submitted:* 02.06.2018

Abstract, LaTeX, PDF

**2018-03**

*Author:* **Moroz, B. Z.**

*Title:* **The Riemann Hypothesis and Diophantine equations**

*Comments:* Russian, LaTeX, 6 pp.

*Subj-class:* **11M26**, *Secondary:* **11D72**

*Submitted:* 01.07.2018

Abstract, LaTeX, PDF

**2018-04**

*Author:* **Oleg I. Reinov**

*Title:* **Around Grothendieck's theorem on operators with nuclear adjoins**

*Comments:* English, LaTeX, 24 pp.

*Subj-class:* **46B28**

*Submitted:* 20.09.2018

Abstract, LaTeX, PDF

**2018-05**

*Author:* **Meshkova, Yu. M.**

*Title:* **Homogenization with the corrector for periodic parabolic systems in the $L_2(\mathbb{R}^d)$-norm**

*Comments:* Russian, LaTeX, 69 pp.

*Subj-class:* **35B27**, *Secondary:* **35K45**

*Submitted:* 21.09.2018

Abstract, LaTeX, PDF

**2018-06**

*Author:* **Dorodnyi, M. A.**

*Title:* **Homogenization of the periodic Schrödinger-type equations with the lower order terms**

*Comments:* Russian, LaTeX, 69 pp.

*Subj-class:* **35B27**

*Submitted:* 10.12.2018

Abstract, LaTeX, PDF

**2018-07**

*Author:* **Lodkin, A. A.**

*Title:* **Klein sail and Diophantine approximation of a vector**

*Comments:* Russian, 4 pp.

*Subj-class:* **11H06**; *Secondary:* **11J70, 52C07**

*Submitted:* 19.12.2018

Abstract, PDF

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