Contents

Mathematical Notes

Vol. 112, No. 5-6, 2022

Research Articles

On Expansions in the Exact and Asymptotic Eigenfunctions of the One-Dimensional Schrödinger Operator

A. Yu. Anikin, S. Yu. Dobrokhotov, and A. A. Shkalikov p. 623  abstract

Semiclassical Asymptotics of Oscillating Tunneling for a Quadratic Hamiltonian on the Algebra \(\operatorname{su}(1,1)\)

E. V. Vybornyi, and S. V. Rumyantseva p. 642  abstract

Endpoint Functions: Mathematical Apparatus and Economic Applications

T. M. Gataullin, and S. T. Gataullin p. 656  abstract

Multiple Solutions for a Singular Problem Involving the Fractional \(p\)-\(q\)-Laplacian Operator

A. Ghanmi, T. Kenzizi, and N. T. Chung p. 664  abstract

On Holomorphic Coverings of Planar Domains

V. N. Dubinin p. 674  abstract

Eta-Invariants for Parameter-Dependent Operators Associated with an Action of a Discrete Group

K. N. Zhuikov, and A. Yu. Savin p. 685  abstract

Maslov Index on Symplectic Manifolds. With Supplement by A. T. Fomenko “Constructing the Generalized Maslov Class for the Total Space \(W=\mathbb{T}^*(M)\) of the Cotangent Bundle”

A. S. Mishchenko p. 697  abstract

Canonical Operator on Punctured Lagrangian Manifolds and Commutation with Pseudodifferential Operators: Local Theory

V. E. Nazaikinskii p. 709  abstract

On the Delocalization of a Quantum Particle under the Adiabatic Evolution Generated by a One-Dimensional Schrödinger Operator

V. A. Sergeev, and A. A. Fedotov p. 726  abstract

Hochschild Cohomology of Some Finite Category Algebras as Simplicial Cohomology

I.-I. Simion, and C.-C. Todea p. 741  abstract

Jacobi’s Triple-Product Identity and an Associated Family of Theta-Function Identities

H. M. Srivastava, M. P. Chaudhary, S. Chaudhary, and G. A. Salilew p. 755  abstract

Sharp Bernstein Inequalities for Jacobi–Dunkl Operators

O. L. Vinogradov p. 763  abstract

The Dimension Conjecture: Solution and Future Prospects

M. A. Stepanova p. 776  abstract

Auslander Condition and Gorenstein Rings

Dejun Wu p. 789  abstract

Pivotal Weak Turaev \(\pi\)-Coalgebras

Xiaohui Zhang, Shuangjian Guo, and Shengxiang Wang p. 797  abstract

Liouville-Type Theorem for a Subelliptic Equation with Choquard Nonlinearity and Weight

Anh Tuan Duong, and Thi Quynh Nguyen p. 819  abstract

Relationship between the Extremality of a Manifold and That of an Affine Image of the Topological Product of Its Several Copies

M. Bayramoglu, I. Sh. Jabbarov, and L. G. Ismailova p. 826  abstract

The Method of Harmonic Mapping of Regions with a Notch

S. I. Bezrodnykh, and V. I. Vlasov p. 831  abstract

Results on the Existence and Multiplicity of Solutions for a Class of Sublinear Degenerate Schrödinger Equations in \(\mathbb{R}^N\)

Bui Kim My p. 845  abstract

Pell and Pell–Lucas Numbers as Product of Two Repdigits

F. Erduvan, and R. Keskin p. 861  abstract

Classical Solutions of a Multidimensional Hyperbolic Differential–Difference Equation with Shifts of Various Directions in the Potentials

N. V. Zaitseva p. 872  abstract

Invariant Banach Limits and Their Convex Subsets

R. E. Zvolinskii, and E. M. Semenov p. 881  abstract

Codes from Dihedral 2-Groups

S. Gupta, and P. Rani p. 885  abstract

Existence of Solutions of Anisotropic Problems with Variable Exponents with Robin Boundary Conditions

M. Hsini, L. Mbarki, and K. Das p. 898  abstract

Boundary Value Problems for Quasi-Hyperbolic Equations with Degeneration

A. I. Kozhanov, and N. R. Spiridonova p. 911  abstract

Complex Appell–Bessel Functions and Their Degenerate Analogs

Subuhi Khan, Mehnaz Haneef, and Mumtaz Riyasat p. 922  abstract

On Questions Posed by Shemetkov, Ballester-Bolinches, and Perez-Ramos in Finite Group Theory

V. I. Murashka p. 932  abstract

Equivalence Classes of Parseval Frames

S. Ya. Novikov, and V. V. Sevost’yanova p. 940  abstract

Recovery of Functions on \(p\)-Adic Groups

M. G. Plotnikov, and V. S. Astashonok p. 955  abstract

Numerical Methods for Some Classes of Variational Inequalities with Relatively Strongly Monotone Operators

F. S. Stonyakin, A. A. Titov, D. V. Makarenko, and M. S. Alkousa p. 965  abstract

The Cost of Symmetry in Connected Graphs

M. S. Terekhov p. 978  abstract

Entropy of a Unitary Operator in \(\mathbb C^J\)

D. V. Treschev, and A. O. Chernyshev p. 984  abstract

Dynamical and qKZ Equations Modulo \(p^s\): an Example

A. Varchenko p. 1003  abstract

Density of the Points of Continuity of the Metric Function and Projection in Asymmetric Spaces

I. G. Tsarkov p. 1017  abstract

Spectral Expansion for Nonself-Adjoint Differential Operators with Periodic Matrix Coefficients

O. A. Veliev p. 1025  abstract

The \(L_{p}\)-Mixed Geominimal Surface Areas

C. J. Zhao p. 1044  abstract

Short Communications

On a Method for Studying the Asymptotics of Solutions of Sturm–Liouville Differential Equations with Rapidly Oscillating Coefficients

L. N. Valeeva, É. A. Nazirova, and Ya. T. Sultanaev p. 1059  abstract

On the Reverse Dzyadyk Inequality for Polynomials with Zeros on a Closed Interval

M. A. Komarov p. 1065  abstract

Values of the Riemann Zeta Function and the Dirichlet Beta Function at Positive Integer Points and Multiple Numerical Series

K. A. Mirzoev, and T. A. Safonova p. 1071  abstract

Erratum

Erratum to: Decomposing a Matrix into Two Submatrices with Extremely Small Operator Norm

Limonova I. V. p. 1077  abstract

Erratum to: Exact Discretization of the \(L_2\)-Norm with Negative Weight

Limonova I. V. p. 1078  abstract