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175 papers in math.CA · page 1
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New proof bounds strong maximal operator on Heisenberg groups
A new proof of maximal theorem on Heisenberg groups
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Quadratic splines achieve minimal curvature for monotone Hermite data
Optimal $C^{1,1}$ and Quasi-Optimal $C^2$ Monotone Interpolation with Curvature Control
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Invariant subspaces described for superharmonic weighted Dirichlet spaces
Superharmonically Weighted Dirichlet Spaces
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Character sums reach √p log log p over intervals
Large values of shifted mixed character sums
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Galerkin linear elements deliver sharp rates for discrete fractional Sobolev constant
Galerkin Approximation of the Fractional Sobolev Constant
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Helix Möbius energy asymptotics extracted via meromorphic extension
Complex methods in the asymptotics of M\"obius energy integrals of helix curves
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Horizontal currents in Heisenberg group decompose via Smirnov
Smirnov Decomposition of a Horizontal Vector Charge in the Heisenberg Group
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Graph vertex count sets ℓ^p bounds for distance forms
$\ell^{p}$ improving estimates for multilinear forms motivated by distance graphs
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Rational solutions of Abel equations are reciprocals of polynomials
On the rational solutions of generalized Abel equations
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Born-Jordan concentration optimizers exist only below critical p
On the existence of optimizers for nonlinear time-frequency concentration problems: the Born--Jordan distribution
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Backward shift on H^4 has norm fourth root of golden ratio
The norm of the backward shift on $H^4$ is $\sqrt[4]{\varphi}$
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Coifman-Meyer variants define Jacobian and Hessian as distributions
Multilinear multiplier theorems and their applications to the Jacobian and the Hessian determinant
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Elastica energy limits to 2π multiples at each concentration
Concentration effects and $\Gamma$-limit for the elastica functional for open and closed curves
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Sharp (p,q) range determined for fractal measure convolutions
Sharpness of convolution bounds for measures
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Strichartz estimates for orthonormal systems extend to non-sharp region
Strichartz estimates for orthonormal systems on compact manifolds: the non-sharp region
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Grushin operators obey isoperimetric inequality with dimension Q
Isoperimetric Inequality for degenerate elliptic operators of Grushin type
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Chirp conjugation transfers Littlewood-Paley theory to FrFT
Recent progress of Littlewood-paley Theory with chirp function
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Chirp conjugation transfers FrFT Littlewood-Paley estimates unchanged
Recent progress of Littlewood-paley Theory with chirp function
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Nonconvexity indices for C^{1,1} functions via generalized Hessians
Local Nonconvexity Indices for \(C^{1,1}\) Functions via Generalized Hessians
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Szegő–Verblunsky theorem extends to quaternionic sphere
Orthogonal Polynomials, a Szeg\H{o}--Verblunsky Theorem and Baxter's Theorem on the Quaternionic Sphere
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Hermite coefficients decay for weighted Gaussian functions
Hermite expansions of functions from the weighted Hardy class
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Uniform dyadic variation yields weak (1,1) for Walsh-Carleson operators
Dyadic Martingale Transforms and Weighted Walsh-Carleson Operators
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Hexagonal lattice extremizes theta-Epstein zeta ratios
On ratios of theta functions
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Change of measure theorem holds for Brownian-time processes
Brownian-time Change of measure
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Dense n-dimensional sets contain power configurations
A multidimensional Szemer\'{e}di theorem in integers
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Convex sets describe weight exponents for Bergman-Orlicz embeddings
Convexity of the embedding parameter sets of some analytic function spaces
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Voros periods expand Heun accessory parameters to match conformal blocks
Accessory Parameter of Confluent Heun Equations, Voros Periods and classical irregular conformal blocks
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Sparse spectrum realizes any weighted l2 coefficients iff sum 1/w^2 bounded
Fourier coefficients of continuous functions with sparse spectrum
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Piecewise linear cylinder ODEs have bounded limit cycles
Finitude of Limit Cycles of Linear Piecewise ODEs in the Cylinder
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Five inequalities found via Grok collaboration
Grokability in five inequalities
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Lp triangle inequality fails for p>2 but holds at c=p'
Almost-Orthogonality in Lp Spaces: A Case Study with Grok
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Recurrence criteria settle Turán inequality for generalized Chebyshev polynomials
On Tur\'{a}n's inequality: new general criteria, nonnegative representations and the class of generalized Chebyshev polynomials
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Subdifferentiable convex functions are strictly convex iff subdifferentials are strictly
On Characterizations of (Almost) Strictly Convex Functions
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Averages of Walsh partial sums converge a.e
Almost Everywhere Convergence of Arithmetic Means of Walsh--Fourier Partial Sums Along Subsequences
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Sharp window condition decides a.e
de la Vall\'ee Poussin Means of Walsh-Fourier Expansions
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Energy minimizers equidistribute near fractal 1-sets
Energy-minimizing measures supported near fractal 1-sets
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Theta transformations prove McIntosh q-series conjectures
Theta functions and transformations of bilateral basic hypergeometric series
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Theta transformations prove McIntosh q-series conjectures
Theta functions and transformations of bilateral basic hypergeometric series
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Smooth positive weights allow non-unique PDE solutions from zero data
Non-uniqueness for a differential equation and a proof by ChatGPT
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Weaker condition ensures boundedness for planar vector field maximal functions
On maximal functions associated with planar vector fields
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Scaling axioms force Mellin-Gamma measures for all dimensions
Radial Integration in Continuous Dimension: A Mellin-Gamma Classification of Euclidean Ball Volume
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General dichotomies allow smooth linearization of nonautonomous systems
Smooth linearization of nonautonomous dynamics under general dichotomic behaviour
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Borel resummation yields closed forms for two Laplacian determinants
Two Regularized Determinants of Laplacian through Resurgence theory
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2D refinement iterates exactly realized by fixed-width ReLU networks
Exact ReLU realization of tensor-product refinement iterates
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Decay on discrete sets determines global function decay
A discrete Hardy uncertainty principle
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Hankel integrals' leading term matches Bleistein boundary case
A novel asymptotic technique for integrals involving the Hankel contour and the Bleistein asymptotic formula
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The paper defines a directed graph G2 that represents points on the Lévy Dragon Curve…
Shifted L\'evy's Dragon Curve and Directed Graph
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Weighted decoupling holds with lower-dimensional frequency localization
Weighted decoupling with lower-dimensional frequency localization
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Sharp p-norm ratios for zero-sum vectors confirmed for d at least 4
Proof of the Holevo-Utkin conjecture on sharp $\ell_p$ norms for zero-sum vectors
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Picard-Fuchs equations bound Melnikov zeros near nilpotent saddle loops
Inhomogeneous Picard-Fuchs equations of Abelian integrals in piecewise smooth near-Hamiltonian systems