OOIR: Observatory of International Research

Papers

(The TQCC of Functional Analysis and Its Applications is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-04-01 to 2024-04-01.)

Article	Citations
Values of the $$\mathfrak{sl}_2$$ Weight System on Complete Bipartite Graphs	7
On the Spectrum of the One-Particle Density Matrix	5
On an Elliptic Operator Degenerating on the Boundary	5
Homogenization of the Fourth-Order Elliptic Operator with Periodic Coefficients with Correctors Taken into Account	5
Maximal Monotonicity of a Nemytskii Operator	4
Expansive Endomorphisms on the Infinite-Dimensional Torus	3
On Algebraic-Geometric Methods for Constructing Submanifolds with Flat Normal Bundle and Holonomic Net of Curvature Lines	3
On Bloch Solutions of Difference Schrödinger Equations	3
Pointwise Conditions for Membership of Functions in Weighted Sobolev Classes	3
Titchmarsh–Weyl Formula for the Spectral Density of a Class of Jacobi Matrices in the Critical Case	3
Strengthening of the Bourgain–Kontorovich Theorem on Small Values of Hausdorff Dimension	3
Spaces of Dyadic Distributions	3
On Rotational Waves of Limit Amplitude	3
The Essential Spectrum of One-Dimensional Dirac Operators with Delta Interactions	2
On Numerically Implementable Explicit Formulas for the Solutions to the 2D and 3D Equations $$\operatorname{div}(\alpha(w)\nabla w)=0$$ and $$\operatorname{div}(\beta\nabla w)=0$$ with Cauchy Da	2
Approximations of the Images and Integral Funnels of the $$L_p$$ Balls under a Urysohn-Type Integral Operator	2
On Approximation of Measures by Their Finite-Dimensional Images	2
A Hilbert $$C^*$$-Module with Extremal Properties	2
Rational Hypergeometric Identities	2
One-Dimensional Central Measures on Numberings of Ordered Sets	2
The Structure of the Algebra of Weak Jacobi Forms for the Root System $$F_4$$	2
Improved Inequalities for Numerical Radius via Cartesian Decomposition	2
Infinitesimal Center Problem on Zero Cycles and the Composition Conjecture	2
Hardy Inequality for Antisymmetric Functions	2
Compact Operators and Uniform Structures in Hilbert $$C^*$$-Modules	2

On the Constancy of the Extremal Function in the Embedding Theorem of Fractional Order	1
Polynomials in the Differentiation Operator and Formulas for the Sums of Certain Convergent Series	1
Sigma Functions and Lie Algebras of Schrödinger Operators	1
Generalized Trace Formula for Polynomials Orthogonal in Continuous-Discrete Sobolev Spaces	1
Hyperelliptic Sigma Functions and Adler–Moser Polynomials	1
On the Relative Projection Constants of Certain Classes of Subspaces of $$l_\infty^{2n}$$	1
Estimate of Time Needed for a Coordinate of a Bernoulli Scheme to Fall into the First Column of a Young Tableau	1
On Sharp Estimates of Even-Order Derivatives in Sobolev Spaces	1
Two-Sided Estimates of the $$K$$-Functional for Spaces of Functions of Generalized Bounded Variation	1
The Image of a Lagrangian Germ of Type $$E_6^\pm$$	1
Dunkl Translations, Dunkl-Type BMO Space, and Riesz Transforms for the Dunkl Transform on $$L^\infty$$	1
Average Number of Roots of Systems of Equations	1
On the Set of Continuity of the Topological Entropy of Parameter-Dependent Mappings of the Interval	1
Distributions of Polynomials in Gaussian Random Variables under Constraints on the Powers of Variables	1
Transition Functions of Diffusion Processes on the Thoma Simplex	1
Two Consequences of Davies’ Hardy Inequality	1
Parametric Korteweg–de Vries Hierarchy and Hyperelliptic Sigma Functions	1
The Schur–Weyl Graph and Thoma’s Theorem	1
Criteria for the Property (UWE) and the a-Weyl Theorem	1
Semifinite Harmonic Functions on the Zigzag Graph	1
Universal Relations in Asymptotic Formulas for Orthogonal Polynomials	1
Eigenvalue Asymptotics for Weighted Polyharmonic Operator with a Singular Measure in the Critical Case	1
Cyclic Vectors and Invariant Subspaces of the Backward Shift Operator in Schwartz Modules	1
Zeta Determinants of Sturm—Liouville Operators	1
On Simple $${\mathbb Z}_3$$-Invariant Function Germs	1