OOIR: Observatory of International Research

Papers

(The median citation count of Functional Analysis and Its Applications is 0. 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
Estimates for Schur Multipliers and Double Operator Integrals—A Wavelet Approach	0
The Miracle of Integer Eigenvalues	0
Unitary Flows with Tensor Simple Spectrum	0
Approximation of Operator Semigroups Using Linear-Fractional Operator Functions and Weighted Averages	0
Combinatorial Results Implied by Many Zero Divisors in a Group Ring	0
Flat Hypercomplex Nilmanifolds are $$\mathbb H$$-Solvable	0
Superposition Principle for the Fokker–Planck–Kolmogorov Equations with Unbounded Coefficients	0
Reconstructions of the Asymptotics of an Integral Determined by a Hyperbolic Unimodal Singularity	0
Duality for the Kantorovich Problem with a Fixed Barycenter and Barycenters of Functionals	0
Absolute Continuity and Singularity of Spectra for the Flows $$T_t\otimes T_{at}$$	0
On the Extension of Functions from Countable Subspaces	0
Extended Spectra for Some Composition Operators on Weighted Hardy Spaces	0
Homogenization of Nonstationary Maxwell System with Constant Magnetic Permeability	0
Ergodicity and Totality of Partitions Associated with the RSK Correspondence	0
On the Conjugacy of Measurable Partitions with Respect to the Normalizer of a Full Type $$\mathrm{II}_1$$ Ergodic Group	0
Extension Operator for Subspaces of Vector Spaces over the Field $$\mathbb{F}_2$$	0
Anatoly Moiseevich Vershik. On the occasion of the 90th anniversary	0
Linear and Multiplicative Maps under Spectral Conditions	0
On the Birman Problem in the Theory of Nonnegative Symmetric Operators with Compact Inverse	0
Singularities Equivariantly Simple with Respect to Irreducible Representations	0
Quasiderivations of the Algebra $$U\mathfrak{gl}_n$$ and the Quantum Mischenko–Fomenko Algebras	0
On R-duals of Type III in Hilbert Spaces	0
Anatoly Moiseevich Vershik (1933–2024)	0
On Compactification of Spaces of Measures	0
Diagram Automorphism Fixed Lie Algebras and Diagram Automorphism Fixed Quiver Varieties	0

Two-Dimensional Diffusion Orthogonal Polynomials Ordered by a Weighted Degree	0
A Semigroup of Paths on a Sequence of Uniformly Elliptic Complexes	0
Localization for Hyperbolic Measures on Infinite-Dimensional Spaces	0
Resurgence and Partial Theta Series	0
Self-Joinings and Generic Extensions of Ergodic Systems	0
Restricted Partitions: The Polynomial Case	0
Inequalities of Rellich Type	0
Dirac Operators with Singular Potentials Supported on Unbounded Surfaces in $$\mathbb{R}^{3}$$	0
Elliptic Cauchy Matrices	0
Intrinsic Ergodicity, Generators, and Symbolic Representations of Algebraic Group Actions	0
A Remark on Davies’ Hardy Inequality	0
Quasi-Similarity, Entropy and Disjointness of Ergodic Actions	0
Multivariate Signatures of Iterated Torus Links	0
Connection on the Group of Diffeomorphisms as a Bundle Over the Space of Functions	0
Note on Derivations of Certain non-CSL Algebras	0
On the Milnor and Tjurina Numbers of Zero-Dimensional Singularities	0
Inverse Problem for the $$L$$-Operator in the Lax Pair of the Boussinesq Equation on the Circle	0
Publisher Correction to: Noncommutative Geometry of Random Surfaces, Funct. Anal. Appl. 58:1 (2024), 65–79	0
Golden and Silver Stationary Points in Probe Particle Dynamics within a Modular Domain	0
Interfacial Contact Model in a Dense Network of Elastic Materials	0
On the Set of Continuity of the Topological Entropy of Parameter-Dependent Mappings of the Interval	0
Classification of Measurable Functions of Several Variables and Matrix Distributions	0
An Index Theorem for Linear Relations and Its Applications to the Study of Block Relation Matrices	0
On a Notion of Averaged Mappings in $$\operatorname{CAT}(0)$$ Spaces	0
Generalized Cauchy–Bunyakovsky–Schwarz Inequalities and Their Applications	0
On the Absence of an Additional Real-Analytic First Integral in the Problem of the Motion of a Dynamically Symmetric Heavy Rigid Body about a Fixed Point	0
Liouville Property and Poisson Boundary of Random Walks with Infinite Entropy: What’s Amiss?	0
The Expectation of a Multiplicative Functional under the Sine-Process	0
Multipliers for the Calderón Construction	0
Taylor Spectrum for Modules over Lie Algebras	0
Limit Spectral Measures of Matrix Distributions of Metric Triples	0
Nash-Type Inequalities on Metric-Measure Spaces	0
Continuous Selection of Approximate Monge Solutions in the Kantorovich Problem with a Parameter	0
A Note on Relatively Injective $$C_0(S)$$-Modules $$C_0(S)$$	0
Hermitian Property and the Simplicity of Spectrum of Bethe Subalgebras in Yangians	0
On the Arens Homomorphism	0
Free Topological Algebra with Separately Continuous Mal’tsev Operation	0
On the Structure of Coset $$n$$-Valued Topological Groups on $$S^3$$ and $$\mathbb{R}P^3$$	0
On the Local Everywhere Hölder Continuity of the Minima of a Class of Vectorial Integral Functionals of the Calculus of Variations	0
Resolution of Singularities of the Odd Nilpotent Cone of Orthosymplectic Lie Superalgebras	0
On Poisson Semigroup Hypercontractivity for Higher-Dimensional Spheres	0
Spectral Analysis of a Dynamical System Describing the Diffusion of Neutrons	0
Estimation of the Modulus of Hölder Metric Regularity	0
On the Symmetrizations of $$\varepsilon$$-Isometries on Positive Cones of Continuous Function Spaces	0
Resonances for the Dirac Operator on the Half-Line	0
Elliptic Analogue of the Vershik–Kerov Limit Shape	0
Wold-Type Decompositions for Pairs of Commutative Semigroups Generated by Isometries	0
Interior Points of Convex Compact and Continuous Selections of Exact Measures	0
Bundles of Holomorphic Function Algebras on Subvarieties of the Noncommutative Ball	0
Grothendieck Ring of Pairs of Quasi-Projective Varieties	0
Asymptotic Relations for the Distributional Stockwell and Wavelet Transforms	0
On a Sharp Lower Bound for the Tjurina Number of Zero-Dimensional Complete Intersections	0
On the Distribution of Eigenvalues of Nuclear Operators	0
$$A$$-Ergodicity of Convolution Operators in Group Algebras	0
Noncommutative Geometry of Random Surfaces	0
The Extrema of $$q$$- and Dual $$q$$-Quermassintegrals for the Asymmetric $$L_p$$-Difference Bodies	0
Remarks on Yangian-Type Algebras and Double Poisson Brackets	0
Spectral Inclusion Properties of Quaternionic Krein Space Numerical Range	0
The Quasilinear Parabolic Venttsel’ Problem with Discontinuous Leading Coefficients	0
The Bi-Hamiltonian Structures of the DR and DZ Hierarchies in the Approximation up to Genus One	0
A Convergence Rate Estimate for Remotest Projections on Three Subspaces	0