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428 papers in math.CA · page 3
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Any valid generator extends to a full solution of the functional equation
Quasi graph-additive functions with a prescribed branch
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Any qualifying generator extends to a solution of the functional equation
Quasi graph-additive functions with a prescribed branch
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Conditional t-affinity forces full t-affinity on any real subinterval
Non-symmetrically $t$-affine functions revisited
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Beta function gives explicit polynomial smooth transitions
Blend-to-zero operators for smooth transition functions
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Mild regularity yields compactness for bilinear singular integrals
Compactness of bilinear singular integral with mild kernel regularity
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Lorentz L_p,q functions exist with Fourier support on zero-capacity sets above β threshold
Uncertainty Principle for distributions with Fourier transform in $L_{p,q}(\mathbb{R}^d)$
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Self-attention particles align or polarize by spectrum of V
Spectral Selection in Symmetric Self-Attention Dynamics
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Antiholomorphic piecewise systems bounded to 10 quadratic limit cycles
Limit cycles in piecewise smooth systems with circular switching manifold
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Flat weights embed sharply into A_p near p=1
Asymptotically sharp embedding of $A_\infty$ into $A_p$ for flat weights and applications to Poincar\'e-Sobolev inequalities
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Quadratic zeros complete interlacing for polynomial pairs
Interlacing of zeros of polynomials completed with two additional points
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Periodic 1D Schrödinger waves bounded by (log N)^{1/6} in L6
Sharp Strichartz estimate for the 1D periodic Schr\"odinger equation
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High-dimensional fractals on the line hold curved three-point patterns
A curved three-point pattern problem for fractal sets on the real line
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Sum 1/(n w(n)) < ∞ sets unconditional Weyl multiplier for wavelets
Quantitative estimates for the absolute convergence of wavelet-type series
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Dini kernels yield weighted weak (1,1) bounds for oscillatory integrals
Weighted weak type $(1,1)$ estimates for oscillatory singular integrals with Dini kernels
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Spherical maximal functions reach weak type at L^p-L^q boundary
Boundary estimates for the fractional spherical maximal function
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Optimal kernels minimize third-order discrete differences after averaging
The smoothest average and some extremal problems for polynomials
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Segregation emerges from random moves without destination bias
Relocation without preference: A destination-agnostic Schelling-type metapopulation model
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Uncertainty principle limits Fourier uniqueness and reconstruction
The Uncertainty Principle in Harmonic Analysis -- Lecture Notes on Selected Topics
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Contour-integral matrix sum determinant equals Fredholm det(I+K)
A determinant identity for the sum of contour integral matrices
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Ratio of arctangent integrals proves dilogarithm identities
New 3 and 6-Term Functional Dilogarithm Equations from Beta-Type Integrals
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Strong fractional maximal operators bounded from L^p to L^q
On a family of strong fractional maximal operators
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Finite weighted log integral forces Verblunsky decay for m=1,2,3
Single-Point Higher-Order Szeg\H{o} Sum Rules in OPUC: Necessity for $m=1,2,3$
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Unbounded rotations guarantee periodic solutions
Existence of a periodic solution for superquadratic Hamiltonian systems with possible finite-time blow-up
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Strongly singular operators map L^∞(w) to BMO(w)
Continuity properties of strongly singular integral operators for extreme values of $p$
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Skew-orthogonal polynomials reduce to linear combinations of orthogonal ones
Skew-orthogonal polynomials for a quartic Freud weight: two classes of quasi-orthogonal polynomials
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Equivalent measures extend commutator Schatten norms to irregular spaces
$A_\infty$-invariance of oscillatory norms, and Schatten characterisations of commutators
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Algebraic formula counts Liouville solutions on tori for odd multiplicity
Algebraic methods in periodic singular Liouville equations
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Generalized Lamé curves prove Treibich conjecture for four pole pairs
A theory of generalized Lam\'e curves
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A^p_α spaces are not vector spaces for p ≠ 2
$A^p_\alpha$ classes in the Dirichlet range: inner-outer factorization, Carleson measures and weak products
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Non-flatness drops harmonic measure dimension below s
Dimension Drop for Harmonic Measure on Ahlfors Regular Boundaries
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Fractal sets must expand sums or products to dimension 29s/23
A note on the sum-product problem for fractal sets
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Sadowsky functional is Gamma-limit for anisotropic ribbons
On the Sadowsky functional for anisotropic ribbons
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Unique solution continues mock theta functions across natural boundary
On Uniqueness of Mock Theta Functions
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Hypermetric kernels bound bilinear fractional integrals
Boundedness properties of the bilinear fractional integral operators induced by hypermetrics of third order
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Fourier dimension 2 forces full distance set dimension
On Fourier decay and the distance set problem
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Abel-comparable kernel yields diverging Volterra solutions
A counterexample to Abel-type asymptotics for scaled Volterra equations
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Pointwise relations link multiparameter square functions
Multiparameter Marcinkiewicz integrals and a resonance theorem
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Domain normal regularity matches Riesz transform regularity on constants
Characterizations of Lyapunov domains in terms of Riesz transforms and the Plemelj-Privalov theorem
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Density 1-O(log n/n) forces large copies of any n-point set
Near-optimal density theorems for large dilates of large point configurations
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Dyadic spikes disprove endpoint for lacunary dilate averages
Counterexamples for lacunary dilates via dyadic spike blocks
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Wave operators exist and are complete for Szegő Jacobi matrices
Wave operators for Jacobi matrices
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Condition sets when projections keep full packing dimension
On the packing dimension of projected measures
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Simple conditions prove multilinear embeddings for sparse fractional operators
Multilinear embedding theorem for fractional sparse operators
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Kerman-Sawyer trace inequality extends to product Morrey spaces
The Kerman-Sawyer trace theorem for product Morrey spaces
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Pointwise bound sharpens L^p estimates for SU(3) characters
Pointwise character bounds for $\mathrm{SU}(3)$
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Rado constant for high-d balls: between 3^{-d} and 2.447^{-d}
Rado's covering problem for cubes and balls: a semi-survey
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Adams trace inequality extends to product Morrey spaces
The Adams trace theorem for product Morrey spaces
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Closed 2-forms inject into bounded cohomology on first-kind hyperbolic manifolds
Bounded cohomology classes from differential forms
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Uniform Delannoy bounds give dimension-free discrete maximal estimates
Uniform estimates for Delannoy numbers and dimension-free estimates for discrete maximal functions over cross-polytopes
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Spectral condition stabilizes uncertainty principles on manifolds
Uncertainty principles and singular potentials