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428 papers in math.CA · page 1
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Crystalline measures can fail translation boundedness as distributions
On almost periodicity in crystalline measures
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Method yields fourth-order DE for Laguerre-Hahn polynomials
On a general method for deriving a fourth-order differential equation satisfied by Laguerre-Hahn orthogonal polynomials with new results for the class 0 analogous to Hermite
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Density thresholds turn sampled moduli into global moduli equality
Discrete Pauli pairs
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Conjecture pins down when sparse spherical averages are bounded
A conjecture for arithmetic spherical maximal functions
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Hausdorff dimension k suffices for simplex volumes up to ambient dimension 2k
On volumes of simplices in intermediate dimensions
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DPPs on manifolds bound discrepancy to O(sqrt(N^{1-1/D}) log N)
Discrepancy of determinantal point processes on compact, connected two-point homogeneous spaces
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Component-wise conditions give nine fixed points in product spaces
Hybrid and Component-wise Leggett-Williams type Fixed Point Theorems in Product Spaces with Applications
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Maximal operator bounded on generalized Fofana spaces
Boundedness of the Hardy-Littlewood maximal operator on generalized fofana spaces
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Lower bound 2st/(s+2t) for Fourier dim of (s,t)-Kakeya sets
Fourier analytic variants of the Furstenberg and Kakeya problems
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Polynomial Hamiltonians yield meromorphic solutions only for degrees 3,4,5,7
Modified Painlev\'e systems with meromorphic solutions for polynomial Hamiltonians of all degrees
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Bessel integral bound holds uniformly for all gamma in (0,1)
Weighted Uniform Endpoint Majorants for Integrals Involving Modified Bessel Functions
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Atomic decompositions obtained for matrix-weighted variable Hardy spaces
Atomic Characterization and Its Applications of Matrix-Weighted Variable Hardy Spaces
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Gaussian STFT achieves local L2-stable phase retrieval at constants
$L^2$-Stability for STFT phase retrieval
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Brascamp-Lieb inequality bounds fractal dimensions from projections
Brascamp--Lieb inequalities for fractal dimensions
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Two wavelet proofs establish Fefferman extension bound for parabola
A discussion of two new proofs of Fefferman's Fourier extension theorem in the plane
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Law of iterated logarithm extends to smooth half-space functions
The Law of the iterated logaritm for smooth functions
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Poisson A2 still forces 3/2 growth on Hilbert transform
The Poisson Matrix $\mathbf{A}_2$ characteristic and the 3/2 blow up of the Hilbert transform
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Regularized bilinear cone multiplier bounded on L^p for Hölder exponents
The bilinear cone multiplier on $\mathbb{R}^2\times \mathbb{R}^2$
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L^{-α/2} bounds critical Morrey spaces to BMO_L
Some new estimates for generalized fractional integrals associated with operators on Morrey spaces
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Stability inequality proven for HLS critical points in non-Hilbert distance
Stability for Critical Points of the Hardy--Littlewood--Sobolev Inequality and a Dual Stability Framework
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Tree labelings fully characterize maximal spectra of certain Cantor measures
On the spectra of Cantor measures
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Abel towers reveal gaps between polynomial and exponential growth
What lies between polynomial and exponential growth?
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Sharp conjugate bound removes log loss for trig polynomial minima
Sharp Estimates for Conjugate Functions with Applications to Trigonometric Polynomials
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Gabor systems form unconditional frames in L^p for p>2 on characterized sets
Gabor unconditional bases and frames in $L^p(\mathbb{R})$
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Bounded K_4 operator implies rectifiable curve in Heisenberg group
On singular integrals with non-negative kernels in the Heisenberg group
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Space bounds one maximal operator but not the sharp one
A Banach space that distinguishes two maximal operators
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Orthonormal Gaussian zeros repel for k=1 and attract for k=2
Zero correlations and averaged fields of orthonormal Gaussian functions
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Coarea formula holds for maps from Heisenberg group to R^{2n}
Area of H\"older curves and coarea formula on the Heisenberg group
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Polytope projections produce higher Prony systems
Projections of convex polytopes to a line and higher univariate Prony systems
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Solitary wave profiles recovered with sublinear L2 error from perturbed inputs
Generalized Error Bounds in the Recovery of Solitary Wave Profiles
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LCA group actions on tori split into uniquely ergodic subsystems
A Weyl-type theorem for Diophantine approximations driven by LCA groups and applications
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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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Heisenberg maximal operator bounded from L^p to L^q
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