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428 papers in math.CA · page 2
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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
A unified geometric perspective on Zygmund's conjecture for maximal functions associated with 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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Sharp ℓ_p/ℓ_2 ratios for zero-sum vectors confirmed for d≥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
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Graph cycles decide when translated self-similar sets stay self-similar
Self-similarity of unions of self-similar sets and their translations
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Bibasic double sum extends q-binomial theorem
A bibasic double sum extension of a $q$-binomial theorem arising out of subspace enumeration
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Strong nonlinear Carleson conjecture fails for Dirac equations
The strong version of nonlinear Carleson conjecture fails
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Loop controllers realize curve refinements exactly in ReLU nets
Exact Loop Controllers for ReLU Realization of Homogeneous Curve Refinements
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Sierpiński triangle always contains equilateral triangle of full local radius
How Thick Is the Sierpi\'nski Triangle?
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The paper constructs special solutions to the q-Heun equation as finite sums of…
Special Solutions of $q$-Heun Equation by $q$-Integral Transformations
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Carrying simplex conjugates competitive Carathéodory ODEs to lower dimension
Time-periodic carrying simplex for a competitive system of Carath\'eodory ODEs
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Quasilinear PDEs gain unique bounded weak solutions from bounded data
Existence and uniqueness of weak solutions to quasilinear PDEs with critical data
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Penalty subdifferential separation unifies regularity in optimal control
A Unified Regularity Condition for Optimal Control: Bridging LICQ, MFCQ, and Subdifferentials
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Gårding polynomials extend real stable class to new matroids
G{\aa}rding Polynomials
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Gårding polynomials extend real stability to more matroid functions
G{\aa}rding Polynomials
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Wigert higher divisor series gains Chowla-Selberg analogue
A divisor function of Wigert and higher degree forms
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Pulses approximate near diffractive points of any order
Propagation of nonlinear pulses near diffractive points of any order
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Weighted non-resonance yields formal vector field linearization
Weighted linearization of vector fields via a formal Moser trick
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Weighted non-resonance condition linearizes vector fields formally
Weighted linearization of vector fields via a formal Moser trick
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Orthogonal polynomial series recurrences are operator fractions
Fractions of Recurrence Operators for Generalized Fourier Series in Classical Orthogonal Polynomials
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Small Hankel operators in Schatten classes yield product BMO symbols
Recovering Product BMO from Schatten Hankel operators