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 2020-11-01 to 2024-11-01.)

Article	Citations
On the Spectrum of the One-Particle Density Matrix	5
On an Elliptic Operator Degenerating on the Boundary	5
On Bloch Solutions of Difference Schrödinger Equations	4
Titchmarsh–Weyl Formula for the Spectral Density of a Class of Jacobi Matrices in the Critical Case	4
Maximal Monotonicity of a Nemytskii Operator	4
Strengthening of the Bourgain–Kontorovich Theorem on Small Values of Hausdorff Dimension	4
On Rotational Waves of Limit Amplitude	4
Hardy Inequality for Antisymmetric Functions	3
A Hilbert $$C^*$$-Module with Extremal Properties	3
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	3
Pointwise Conditions for Membership of Functions in Weighted Sobolev Classes	3
Rational Hypergeometric Identities	3
Homogenization of the Schrödinger-Type Equations: Operator Estimates with Correctors	3
On Sharp Estimates of Even-Order Derivatives in Sobolev Spaces	3
Approximations of the Images and Integral Funnels of the $$L_p$$ Balls under a Urysohn-Type Integral Operator	2
Improved Inequalities for Numerical Radius via Cartesian Decomposition	2
One-Dimensional Central Measures on Numberings of Ordered Sets	2
Parametric Korteweg–de Vries Hierarchy and Hyperelliptic Sigma Functions	2
Newton Polytopes of Nondegenerate Quadratic Forms	2
On Approximation of Measures by Their Finite-Dimensional Images	2
Infinitesimal Center Problem on Zero Cycles and the Composition Conjecture	2
The Cayley–Hamilton Theorem and Resolvent Representation	1
Eigenvalue Asymptotics for Weighted Polyharmonic Operator with a Singular Measure in the Critical Case	1
The Nonlinear Kantorovich Transportation Problem with Nonconvex Costs	1
Cyclic Vectors and Invariant Subspaces of the Backward Shift Operator in Schwartz Modules	1

Two Consequences of Davies’ Hardy Inequality	1
Two-Sided Estimates of the $$K$$-Functional for Spaces of Functions of Generalized Bounded Variation	1
The Mumford Dynamical System and the Gelfand–Dikii Recursion	1
Dunkl Translations, Dunkl-Type BMO Space, and Riesz Transforms for the Dunkl Transform on $$L^\infty$$	1
Polynomials in the Differentiation Operator and Formulas for the Sums of Certain Convergent Series	1
Semifinite Harmonic Functions on the Zigzag Graph	1
Polynomial Eulerian Characteristic of Nilmanifolds	1
A Convex-Block Approach to Numerical Radius Inequalities	1
Improved Resolvent Approximations in Homogenization of Second-Order Operators with Periodic Coefficients	1
Polynomial Somos Sequences	1
On Simple $${\mathbb Z}_3$$-Invariant Function Germs	1
On Maximal Extensions of Nilpotent Lie Algebras	1
Some Inequalities for $$p$$-Quermassintegrals	1
The Image of a Lagrangian Germ of Type $$E_6^\pm$$	1
The Mumford Dynamical System and Hyperelliptic Kleinian Functions	1
Single-Valued Extension Property and Property $$(\omega)$$	1
Hyperelliptic Sigma Functions and Adler–Moser Polynomials	1
Universal Relations in Asymptotic Formulas for Orthogonal Polynomials	1
Distributions of Polynomials in Gaussian Random Variables under Constraints on the Powers of Variables	1
The Weak Solvability of an Inhomogeneous Dynamic Problem for a Viscoelastic Continuum with Memory	1
Homogenization of Hyperbolic Equations: Operator Estimates with Correctors Taken into Account	1
The Schur–Weyl Graph and Thoma’s Theorem	1
Full Symmetric Toda System: Solution via QR-Decomposition	1
Criteria for the Property (UWE) and the a-Weyl Theorem	1
Connes Integration Formula: A Constructive Approach	1