# Preprints of the St. Petersburg Mathematical
Society

**2017**

**2017-01**

*Authors:* **Filimonenkova, N. V.; Bakusov, P. A.**

*Title:* **Analysis of ***m*-convexity of multydimensional paraboloids and hyperboloids

*Comments:* Russian, LaTeX, 22 pp.

*Subj-class:* **53A07**, *Secondary:* **53C45**

*Submitted:* 11.02.2017

Abstract, LaTeX, PDF

**2017-02**

*Author:* **Mekler, A. A.**

*Title:* **Regular functions and conditional expectation operators on ordered ideals of $L^1(0,1)$-space**

*Comments:* Russian, LaTeX, 85 pp.

*Subj-class:* **46E30**

*Submitted:* 09.03.2017; *updated:* 01.10.2017

Abstract, LaTeX, PDF

**2017-03**

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

*Title:* **On operator estimates for homogenization of hyperbolic systems with periodic coefficients**

*Comments:* Russian, LaTeX, 35 pp.

*Subj-class:* **35B27**, *Secondary:* **35L52**

*Submitted:* 25.04.2017

Abstract, LaTeX, PDF

**2017-04**

*Author:* **Rastegaev, N. V.**

*Title:* **On spectral asymptotics of the tensor product of operators with almost regular marginal asymptotics**

*Comments:* Russian, LaTeX, 29 pp.

*Subj-class:* **47A80**, *Secondary:* **47A75**, **60G15**

*Submitted:* 28.04.2017

Abstract, LaTeX, PDF

**2017-05**

*Author:* **Krym, V. R.**

*Title:* **Problem: how to find a functional with the given energy-momentum tensor**

*Comments:* Russian, LaTeX, 3 pp.

*Subj-class:* **83F05**, *Secondary:* **35G05**

*Submitted:* 24.05.2017

Abstract, LaTeX, PDF

**2017-06**

*Author:* **Rastegaev, N. V.**

*Title:* **On the spectrum of the Sturm-Liouville problem with arithmetically self-similar weight**

*Comments:* Russian, LaTeX, 14 pp.

*Subj-class:* **34B09**, *Secondary:* **34B24**

*Submitted:* 29.05.2017

Abstract, LaTeX, PDF

**2017-07**

*Author:* **Reinov, O. I.**

*Title:* **On $Z_d$-symmetry of spectra of linear operators in Banach spaces**

*Comments:* English, LaTeX, 23 pp.

*Subj-class:* **47B10**

*Submitted:* 10.09.2017

Abstract, LaTeX, PDF

**2017-08**

*Author:* **Reinov, O. I.**

*Title:* **Approximation properties associated with quasi-normed operator ideals of $(r,p,q)$-nuclear operators**

*Comments:* English, LaTeX, 9 pp.

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

*Submitted:* 19.09.2017

Abstract, LaTeX, PDF

**2017-09**

*Author:* **Reinov, O. I.**

*Title:* **On $Z_d$-symmetry of spectra of some nuclear operators**

*Comments:* English, LaTeX, 15 pp.

*Subj-class:* **47B06**, *Secondary:* **47B10**

*Submitted:* 30.09.2017

Abstract, LaTeX, PDF

**2017-10**

*Authors:* **Apushkinskaya, D. E.; Nazarov, A. I.**

*Title:* **Keep the traces of Man in a sand of time!**

*Comments:* Russian, LaTeX, 12 pp.

*Subj-class:* **01A70**

*Submitted:* 07.12.2017; *updated:* 16.12.2017

Abstract, LaTeX, PDF

Back to the main page