OOIR: Observatory of International Research

Papers

(The median citation count of Analysis and 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
Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces	26
Approximating functions with multi-features by deep convolutional neural networks	20
Learning theory of minimum error entropy under weak moment conditions	17
Mixed-norm Herz spaces and their applications in related Hardy spaces	16
Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal	15
Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations	13
On the global operator and Fueter mapping theorem for slice polyanalytic functions	10
A new sufficient condition for sparse vector recovery via ℓ1 − ℓ2 local minimization	9
Neural network interpolation operators activated by smooth ramp functions	9
Well-posedness and asymptotic behavior of an aggregation model with intrinsic interactions on sphere and other manifolds	9
Sparse representation of approximation to identity	8
Blowup for a Kirchhoff-type parabolic equation with logarithmic nonlinearity	8
A three-dimensional discrete model for approximating the deformation of a viral capsid subjected to lying over a flat surface in the static and time-dependent case	7
Reproducing kernel Hilbert spaces on manifolds: Sobolev and diffusion spaces	7
Topological states and continuum model for swarmalators without force reciprocity	7
A new theory of fractional differential calculus	7
Asymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the node	7
Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization	7
Boundedness and compactness of commutators associated with Lipschitz functions	7
Exact reconstruction of extended exponential sums using rational approximation of their Fourier coefficients	6
Deep neural networks can stably solve high-dimensional, noisy, non-linear inverse problems	5
On the global L∞→BMO mapping property for Fourier integral operators	5
Approximations with deep neural networks in Sobolev time-space	5
Effects of depth, width, and initialization: A convergence analysis of layer-wise training for deep linear neural networks	5
Modified proximal symmetric ADMMs for multi-block separable convex optimization with linear constraints	5

Global existence and large time behavior of strong solutions to the nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and vacuum	5
Existence of multiple solutions for a Schrödinger logarithmic equation via Lusternik–Schnirelmann category	5
A structural characterization of compactly supported OEP-based balanced dual multiframelets	4
A mass-conserved tumor invasion system with quasi-variational degenerate diffusion	4
Dynamics of stochastic nonlocal reaction–diffusion equations driven by multiplicative noise	4
Error analysis of deep Ritz methods for elliptic equations	4
A machine learning approach to optimal Tikhonov regularization I: Affine manifolds	4
Nonlinear approximation spaces for inverse problems	4
Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials	4
Operator-valued positive definite kernels and differentiable universality	4
Fourier–Bessel series of compactly supported convolutions on disks	4
Translation and modulation invariant Banach spaces of tempered distributions satisfy the metric approximation property	4
Spline representation and redundancies of one-dimensional ReLU neural network models	3
Global existence and optimal time decay rates for the three-dimensional incompressible Phan-Thien–Tanner model	3
On the spherical slice transform	3
Weighted random sampling and reconstruction in general multivariate trigonometric polynomial spaces	3
A new binary representation method for shape convexity and application to image segmentation	3
A new elliptic mixed boundary value problem with (p,q)-Laplacian and Clarke subdifferential: Existence, comparison and convergence results	3
Symbolic calculus and M-ellipticity of pseudo-differential operators on ℤn	3
Instability of closed p-elastic curves in ?2	3
Convergence and finite sample approximations of entropic regularized Wasserstein distances in Gaussian and RKHS settings	3
Generalized Appell polynomials and Fueter–Bargmann transforms in the polyanalytic setting	3
Reproducing kernels of Sobolev–Slobodeckij˘ spaces via Green’s kernel approach: Theory and applications	3
Iteratively consistent one-bit phase retrieval	3
Sparse regularization with the ℓ0 norm	3
An analysis of noise folding for low-rank matrix recovery	2
On a bridge connecting Lebesgue and Morrey spaces in view of their growth properties	2
Compactness and existence results for quasilinear elliptic problems with singular or vanishing potentials	2
On the regularity of multilinear Schrödinger integral operators	2
Implicit regularization with strongly convex bias: Stability and acceleration	2
Distributions of anisotropic order and applications to H-distributions	2
Integral and series representations of q-polynomials and functions: Part III theta, Ramanujan and q-Bessel functions	2
Variation inequalities for Riesz transforms and Poisson semigroups associated with Laguerre polynomial expansions	2
Sobolev meets Besov: Regularity for the Poisson equation with Dirichlet, Neumann and mixed boundary values	2
Explicit representations for Banach subspaces of Lizorkin distributions	2
Approximation, characterization, and continuity of multivariate monotonic regression functions	2
Analysis of simultaneous inpainting and geometric separation based on sparse decomposition	2
Some compactly supported Riesz wavelets associated to any Ed(2)(ℤ) dilation	2
The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation	2
Relevant sampling in a reproducing kernel subspace of Orlicz space	1
Moduli of smoothness, K-functionals and Jackson-type inequalities associated with kernel function approximation in learning theory	1
Hyper-Gaussian regularized Whittaker–Kotel’nikov–Shannon sampling series	1
Regularized limit, analytic continuation and finite-part integration	1
On linear higher-order parabolic equations in Morrey spaces	1
Images of Gaussian and other stochastic processes under closed, densely-defined, unbounded linear operators	1
A Liouville theorem and radial symmetry for dual fractional parabolic equations	1
On the propagation of regularity for solutions of the Zakharov–Kuznetsov equation	1
Recent advances in asymptotic analysis	1
Approximation of the Mumford–Shah functional by phase fields of bounded variation	1
Prescribed solutions of a nonlinear fractional Schrödinger system with quadratic interaction	1

Asymptotic expansions for Wiener–Hopf equations	1
Optimal prediction for kernel-based semi-functional linear regression	1
Block coordinate type methods for optimization and learning	1
Nonlinear inhomogeneous Fokker–Planck models: Energetic-variational structures and long-time behavior	1
For interpolating kernel machines, minimizing the norm of the ERM solution maximizes stability	1
Determination of source or initial values for acoustic equations with a time-fractional attenuation	1
BiGCN: A bi-directional low-pass filtering graph neural network	1
Approximation analysis of CNNs from a feature extraction view	1
Gabor frame characterizations of generalized modulation spaces	1
Zero inertia limit of incompressible Qian–Sheng model	1
Compressed data separation via unconstrained l1-split analysis	1
Optimal control of a reaction–diffusion model related to the spread of COVID-19	1
Cahn–Hilliard equations on random walk spaces	1