Analysis and Applications

Article	Citations
A unified approach to scalar, vector, and tensor Slepian functions on the sphere and their construction by a commuting operator	37
Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type	27
Approximation of homogenized coefficients in deterministic homogenization and convergence rates in the asymptotic almost periodic setting	25
Decay property for symmetric hyperbolic system with memory-type relaxation	22
Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization	12
Universal approximation results for neural networks with non-polynomial activation function over non-compact domains	12
Recent advances in asymptotic analysis	12
Stability for systems of coupled nonlinear oscillators described by second-order ODEs with coefficient functions in Wloc1,1(0,∞)	12
Iterative kernel regression with preconditioning	11
Convergence analysis of deep residual networks	11
Global well-posedness for second grade fluids	10
Nonlinear inhomogeneous Fokker–Planck models: Energetic-variational structures and long-time behavior	10
Dynamics of stochastic nonlocal reaction–diffusion equations driven by multiplicative noise	9
A framework of Besov–Triebel–Lizorkin-type spaces via ball quasi-Banach function sequence spaces II: Applications to specific function spaces	8
Simultaneous network gradient descent for decentralized federated learning with missing data	8
δ-Rescaled pure super greedy algorithm with respect to Riesz dictionary	7
Analysis of DGD for decentralized high-dimensional statistical models: beyond the least squares	7
Kernel support matrix machines with ramp loss	7
Asymptotic expansion for convection-dominated transport in a thin graph-like junction	7
Sobolev meets Besov: Regularity for the Poisson equation with Dirichlet, Neumann and mixed boundary values	7
Multibump solutions for a class of critical fractional Choquard equation	6
Global well-posedness and large-time behavior for a special 21 2D full compressible viscous non-resistive MHD system	6
Distributed robust regression with correntropy losses and regularization kernel networks	6
Sparse representation of approximation to identity	6
Reproducing kernels of Sobolev–Slobodeckij˘ spaces via Green’s kernel approach: Theory and applications	6

Optimal temporal decay rates for the compressible viscoelastic flows	6
Constructing heat kernels on infinite graphs	5
Long-time asymptotics for the complex nonlinear transverse oscillation equation	5
Some compactly supported Riesz wavelets associated to any Ed(2)(ℤ) dilation	5
On the regularity of multilinear Schrödinger integral operators	5
Large time asymptotic behavior for the dissipative Timoshenko system and its application	5
Subsonic flows with a contact discontinuity in a two-dimensional finitely long curved nozzle	4
Regularized limit, analytic continuation and finite-part integration	4
Prescribed solutions of a nonlinear fractional Schrödinger system with quadratic interaction	4
New conditions on robust and stable recovery of non-strictly k-ranked matrices via Schatten p-norm minimization	4
Stability of determining a Dirichlet–Laplace–Beltrami operator from its boundary spectral data	4
Approximations with deep neural networks in Sobolev time-space	4
Gabor products and a phase space approach to nonlinear analysis	4
Sobolev norm inconsistency of kernel interpolation	4
For interpolating kernel machines, minimizing the norm of the ERM solution maximizes stability	4
The primes perform a Benford dance	4
Near-optimal tensor recovery guarantees for transformed total variation minimization	4
New asymptotic lower bound for the radius of analyticity of solutions to nonlinear Schrödinger equation	4
Global Existence and Large Time Behaviors of Strong Solutions to a Kinetic Cucker–Smale-Type Model Coupled with the Three-Dimensional Incompressible Navier–Stokes Equations	4
Dimension-independent learning rates for high-dimensional classification problems	4
Smoothed quantile regression with nonignorable dropouts	4
Quasi-Banach Schatten–von Neumann properties in the Weyl–Hörmander calculus	3
Symbolic calculus and M-ellipticity of pseudo-differential operators on ℤn	3
Localization of energies in Navier–Stokes models with reaction terms	3
Double phase implicit obstacle problems with convection term and multivalued operator	3
Multiplicity, regularity and concentration of normalized solutions to anisotropic (non)local elliptic problems	3
Translation and modulation invariant Banach spaces of tempered distributions satisfy the metric approximation property	3
Variable-weighted multi-view collaborative fuzzy clustering with consideration of entropy and separability	3
On m-order logarithmic Laplacians and the applications	3
Sampling complexity of deep approximation spaces	3
Author index Volume 20 (2022)	3
Fourier–Bessel series of compactly supported convolutions on disks	3
Nonlinear approximation of functions by sets of finite pseudo-dimension in the probabilistic and average case settings	3
Uniqueness of phase retrieval with short-time linear canonical transform	3
A Liouville theorem and radial symmetry for dual fractional parabolic equations	3
Author index Volume 22 (2024)	3
On the hemispherical transform in the half-space and related Radon transforms	3
Blowup for a Kirchhoff-type parabolic equation with logarithmic nonlinearity	3
Multiparameter regularization and aggregation in the context of polynomial functional regression	3
Approximation, characterization, and continuity of multivariate monotonic regression functions	3
Remarks on the normal hyperbolic mean curvature flow	3
Hamiltonian Systems in the Plane Involving Vanishing Potentials and Exponential Growth	3
A simplified Tikhonov regularization for solving a backward advection-dispersion problem	3
Endpoint estimates about certain oscillatory integral operators on torus	3
Fujita phenomena in nonlinear fractional Rayleigh–Stokes equations	2
Multi-bump solutions for critical Schrödinger equations with electromagnetic fields and logarithmic nonlinearity	2
Iteratively consistent one-bit phase retrieval	2
Neural networks in non-metric spaces	2
On strong solutions to a simplified smectic-A liquid crystal flow	2
Orthogonal polynomials with periodic recurrence coefficients	2

Approximation of BV functions by neural networks: A regularity theory approach	2
Cahn–Hilliard equations on random walk spaces	2
Effects of depth, width, and initialization: A convergence analysis of layer-wise training for deep linear neural networks	2
Local well-posedness of a viscoelastic fluid model for reactive polymers	2
Author index Volume 23 (2025)	2
Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations	2
L2 decay for large perturbations of viscous shocks for multi-D Burgers equation	2
Optimal distributed subsampling for high-dimensional linear measurement error models via doubly bias-corrected score	2
A natural local boundedness result for solutions of elliptic–parabolic equations	1
Global existence and optimal time decay rates for the three-dimensional incompressible Phan-Thien–Tanner model	1
Asymptotics of Fredholm determinant solutions of the noncommutative Painlevé II equation	1
Hilbert space embeddings of independence tests of several variables with radial basis functions	1
Nonlinear approximation spaces for inverse problems	1
Weighted random sampling and reconstruction in general multivariate trigonometric polynomial spaces	1
Ellipsoid-valued solutions of a static Landau–Lifschitz-type equation	1
Continuous solutions for a two-dimensional cross-diffusion problem involving doubly degenerate diffusion and logistic proliferation	1
Mixed-norm Herz spaces and their applications in related Hardy spaces	1
Existence and nonexistence criteria for a system of biharmonic wave inequalities in an exterior domain of ℝN	1
Robust learning of the modified Huber loss	1
Gabor frame characterizations of generalized modulation spaces	1
Weighted analytic regularity for the integral fractional Laplacian in polyhedra	1
Optimal control of a reaction–diffusion model related to the spread of COVID-19	1
Enhancing DCNN model performance: Experimental analysis based on data augmentation	1
On the study of (p, Q)-Laplace Choquard equations with critical Trudinger-Moser nonlinearity in ℍN	1
Multiple standing waves for discrete nonlinear Schrödinger systems with general nonlinearities	1
Horocyclic harmonic Bergman spaces on homogeneous trees	1
A new binary representation method for shape convexity and application to image segmentation	1
Improved expected L2-discrepancy formulas on jittered sampling	1
On choosing initial values of iteratively reweighted ℓ1 algorithms for the piece-wise exponential penalty	1
Uniqueness of Heteroclinic Solutions in a Class of Autonomous Quasilinear ODE Problems	1
Dynamics of dipolar quantum droplets in an extended Gross–Pitaevskii equation in the presence of time-dependent harmonic trapping potential and a damping term	1
Implicit regularization with strongly convex bias: Stability and acceleration	1
Non-ergodic linear convergence property of the delayed gradient descent under the strongly convexity and the Polyak–Łojasiewicz condition	1
Quasi-invariance under flows generated by non-linear PDEs	1
On the Radon transform and the Dirac delta distribution in superspace	1
On a Sobolev-type inequality and its minimizers	1
An analysis of noise folding for low-rank matrix recovery	1
A two-weight boundedness criterion and its applications	0
Non-asymptotic estimates for accelerated high order Langevin Monte Carlo algorithms	0
Classification of solutions to equations involving higher-order fractional Laplacian	0
Separation property and asymptotic behavior for a transmission problem of the bulk-surface coupled Cahn–Hilliard system with singular potentials and its Robin approximation	0
Explicit representations for Banach subspaces of Lizorkin distributions	0
Regularity of very weak time-periodic Poiseuille-type solutions	0
Existence of multiple solutions for a Schrödinger logarithmic equation via Lusternik–Schnirelmann category	0
Real interpolation for variable martingale Hardy–Lorentz–Karamata spaces	0
Error analysis of deep Ritz methods for elliptic equations	0
Tight wavelet frames on the space of M-positive vectors	0
Dynamics of a spatially homogeneous Vicsek model for oriented particles on a plane	0
Approximation analysis of CNNs from a feature extraction view	0
Tractability of approximation by general shallow networks	0
On the Probability Estimates of Quadrature Rules from Uniformly Sampled Points on Spheres	0
Convergence rates of regularized Huber regression under weak moment conditions	0
Recovery of rational functions via Hankel pencil method and sensitivities of the poles	0
Topological states and continuum model for swarmalators without force reciprocity	0
Uniform boundary estimates for Neumann problems in parabolic homogenization	0
Variation inequalities for Riesz transforms and Poisson semigroups associated with Laguerre polynomial expansions	0
Deep ReLU neural networks overcome the curse of dimensionality when approximating semilinear partial integro-differential equations	0
Distributed SGD in overparametrized linear regression	0
Deep neural networks can stably solve high-dimensional, noisy, non-linear inverse problems	0
A new regularity criterion for the 3D nematic liquid crystal flows	0
Smoothing algorithms for nonsmooth optimization over the Stiefel manifold with applications to the graph Fourier basis problem	0
On linear higher-order parabolic equations in Morrey spaces	0
Zero inertia limit of incompressible Qian–Sheng model	0
Successive affine learning for deep neural networks	0
Asymptotic expansion of the generalized hypergeometric function pFq(z) as z →∞ for p < q	0
A class of stochastic nonlocal evolution equations with nonlocal initial conditions	0
Three matrix factorizations from the steps of elimination	0
The Navier–Stokes equation in some general Banach spaces	0
Moduli of smoothness, K-functionals and Jackson-type inequalities associated with kernel function approximation in learning theory	0
Positive solutions for parametric equations with unbalanced growth and indefinite perturbation	0
Wasserstein gradient flows for Moreau envelopes of f-divergences in reproducing kernel Hilbert spaces	0
On the propagation of regularity for solutions of the Zakharov–Kuznetsov equation	0
Operator sequence-based phase retrieval on quaternionic left Hilbert spaces	0
Oscillations and differences in Besov–Morrey and Besov-type spaces	0
Stability and generalization of graph convolutional networks in eigen-domains	0
Boundedness and compactness of commutators associated with Lipschitz functions	0
Approximation by frame-like multiwavelets	0
Global existence of a classical solution for the isentropic nozzle flow	0
On a bridge connecting Lebesgue and Morrey spaces in view of their growth properties	0
Convolution operators in matrix weighted, variable Lebesgue spaces	0

Approximating functions with multi-features by deep convolutional neural networks	0
Existence and multiplicity of solutions for Kirchhoff elliptic problems with nondegenerate points via nonlinear Rayleigh quotient in ℝN	0
Global Gevrey-2 solutions of the 3D axially symmetric Prandtl equations	0
Learning variational models with unrolling and bilevel optimization	0
Maximization and minimization of the principal eigenvalue of the Laplacian with indefinite weight under Dirichlet and Robin boundary conditions on classes of rearrangements	0
Optimal decay of the 3D compressible Euler equations with general damping	0
A unified approach to variable selection for the non-mixture transformation cure model with interval-censored data and application to Alzheimer’s disease	0
Stability Threshold of Couette Flow for the 2D Magnetohydrodynamic Equations	0
Determination of source or initial values for acoustic equations with a time-fractional attenuation	0
Asymptotics of the confluent hypergeometric process with a varying external potential in the super-exponential region	0
Extremal solutions for nonlocal dispersal equations	0
A unified approach to the boundedness of a class of multilinear operators and their iterated commutators	0
Error bounds for a uniform asymptotic approximation of the zeros of the Bessel function Jν(x)	0
Compressed data separation via unconstrained l1-split analysis	0
Viscosity solutions to the inhomogeneous reaction–diffusion equation involving the infinity Laplacian	0
A viscoelastic model for skin via homogenization theory	0
Sobolev–Morrey spaces via Muramatu’s integral formula	0
Multilinear Littlewood–Paley operators and commutators on weighted Hardy spaces	0
Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials	0
Sufficient conditions for the asymptotic relaxation of Kuramoto ensemble in a potential field	0
Quantifying overfitting in deep learning	0
Renewable estimation for partly interval-censored data streams	0
Interpolatory Taylor and Lidstone series	0
On the spherical slice transform	0
Bootstrap SGD: Algorithmic stability and robustness	0
Generalized Appell polynomials and Fueter–Bargmann transforms in the polyanalytic setting	0
On the global L∞→BMO mapping property for Fourier integral operators	0
A new elliptic mixed boundary value problem with (p,q)-Laplacian and Clarke subdifferential: Existence, comparison and convergence results	0
Concentrating solutions of the fractional (p,q)-Choquard equation with exponential growth	0
Spline representation and redundancies of one-dimensional ReLU neural network models	0
A mixed peridynamical approach for beams	0
Multi-peak solutions to a biharmonic elliptic problem with non-power nonlinearity	0
A structural characterization of compactly supported OEP-based balanced dual multiframelets	0
Homogenization of a nonlinear elliptic problem with imperfect rough interface	0
Eternal solutions to a porous medium equation with strong nonhomogeneous absorption. Part II: Dead-core profiles	0
Sparse regularization with the ℓ0 norm	0
A new development of the harmonic balance method: The hybrid harmonic balance method	0
Regularity of oscillatory integral operators	0
Convergence properties of ePIE and stochastic gradient methods for blind ptychography	0
Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal	0
BiGCN: A bi-directional low-pass filtering graph neural network	0
Global weak solutions to a nonlinear chemotaxis system with singular density-suppressed motility	0
Asymptotic behavior for nonlinear textiles with glued yarns	0
Block coordinate type methods for optimization and learning	0
On the strong solution for a diffuse interface model of non-Newtonian two-phase flows	0
Operator-valued positive definite kernels and differentiable universality	0
Concentrating solutions for a fractional p-Laplacian logarithmic Schrödinger equation	0
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	0
Instability of closed p-elastic curves in ????2	0
Existence and asymptotic analysis of a Vlasov–Fokker–Planck/Magnetohydrodynamic system	0
Deep operator network approximation rates for Lipschitz operators	0
Relevant sampling in a reproducing kernel subspace of Orlicz space	0
On the asymptotics of real solutions for the Painlevé I equation	0
Iteratively reweighted least squares for block sparse signal recovery with unconstrained l2,p minimization	0
Topological properties of basins of attraction of width bounded autoencoders	0
Homogenization of supremal functionals in the vectorial case (via Lp-approximation)	0
Asymptotic-preserving finite element analysis of Westervelt-type wave equations	0
Multiplicity of normalized solutions for a nonlinear Schrödinger equation with critical growth in ℝN	0
Global well-posedness of the three-dimensional bipolar non-isentropic Euler–Poisson equations with heat conduction in bounded domains	0
Learning with centered reproducing kernels	0
Optimal prediction for kernel-based semi-functional linear regression	0
Soliton resolution for the modified short pulse equation with the weighted Sobolev initial data	0
Images of Gaussian and other stochastic processes under closed, densely-defined, unbounded linear operators	0
Author index Volume 21 (2023)	0
Hyper-Gaussian regularized Whittaker–Kotel’nikov–Shannon sampling series	0
Weighted estimates for some Schrödinger-type operators on spaces of homogeneous type	0
Sample complexity bounds for the local convergence of least squares approximation	0
Convergence and finite sample approximations of entropic regularized Wasserstein distances in Gaussian and RKHS settings	0
Stability of the non-resistive magnetic Rayleigh–Bénard problem with large initial perturbations	0
Nonlocal elliptic equations with singular reaction	0