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775 papers in math.FA · page 4
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Rotational symmetrization maximizes convex function approximations
Generalized outer linearizations and extremal properties of rotational epi-symmetrizations
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Kadison duality extended to regular partially convex sets
Kadison duality for partially convex sets
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Solutions exist for singular elliptic equations on C^{1,1} domains
Singular semilinear elliptic equations in nondivergence form
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This paper derives conditions under which bounded zero-free holomorphic functions are…
Cyclicity via weak$^\ast$ sequentially cyclicity in Radially weighted Besov spaces
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Lectures recast topology as condensed sets for algebraic use
Lectures on Condensed Mathematics
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Liquid vector spaces ground new analytic geometry
Lectures on Analytic Geometry
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Neural operators approximate Sobolev operators with O(ε^{-d/s}) parameters
Quantitative Sobolev Approximation Bounds for Neural Operators with Empirical Validation on Burgers Equation
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Contractions in KR metric give unique invariant topological measures
Image transformations, Markov operators, and sample median
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Log-concave measures obey Brunn-Minkowski with exponent 1/(n^3 log n)
Functional perimeter and the dimensional Brunn-Minkowski inequality for log-concave measures
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Multiplier theorem drops smoothness to topological dimension
On Spectral multiplier theorem for sub-Laplacians with drift on M\'etivier groups
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Shilov boundary ideal equals intersection of Γ-representation kernels
On the Shilov boundary ideal for Fr\'{e}chet local operator systems
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Finite Blaschke-Potapov products signal finite-rank self-commutators
Hyponormal block Toeplitz operators with finite rank self-commutators
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Blaschke products control commutator rank in hyponormal Toeplitz operators
Hyponormal block Toeplitz operators with finite rank self-commutators
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Square root formula maps semi-hyponormality regions for 2-variable shifts
Semi-hyponormality of commuting pairs of Hilbert space operators
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Regions for hyponormality properties mapped for 2-variable weighted shifts
Semi-hyponormality of commuting pairs of Hilbert space operators
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Subnormal block Toeplitz operators are normal or analytic when symbols obey Φ = Q Φ*
Subnormal block Toeplitz operators
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Subnormal block Toeplitz operators are normal or analytic
Subnormal block Toeplitz operators
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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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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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Lipschitz operators lift to C(K) operators with near-original norm
A lifting theorem for operators on spaces of Lipschitz functions
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Analysis operators alone characterize frame-convertible sequences
Continuously Frame-Convertible Sequences
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Strict Monge maps induce unique optimal couplings for random measures
Optimal transport between laws of random probability measures and the strict Monge problem
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LCRPs converge for grating functions unlike classical Riesz potentials
Limit Properties at Critical Indices of Linear Canonical Riesz Potentials and Their Applications to Security of Multi-Image Encryption
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The paper proves that polynomial d-chaoses and tetrahedral chaoses from d-dissociated…
On polynomial $d$-chaos via $d$-dissociated character subsystems on compact abelian groups
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Formulas tie dissipation to node geometry in interpolation systems
Dissipation and c-Entropy in Nevanlinna-Pick Interpolation
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Compact perturbation raises minimum modulus on c₀
Weak Minimizing Property and the Compact Perturbation Property for the Minimum Modulus
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The paper proves existence and convergence for sequences from the proximal point method…
The proximal point method and its two variants for monotone vector fields in Hadamard spaces
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Discrete eigenfunctions span Fourier kernel on L^r-Schwartz spaces
$L^r$- Schwartz spaces on split rank one semisimple symmetric spaces
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Fractional operators extend boundedly on Hardy spaces over ball quasi-Banach spaces
Fractional type operators on Hardy spaces associated with ball quasi-Banach function spaces
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Positive eigenfunctions exist for Caputo fractional equations
Existence of Positive Mild Eigenfunctions for Caputo Fractional Semilinear Evolution Equations with Nonlocal Initial Conditions
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Positive eigenpairs exist for fractional equations with nonlocal conditions
Existence of Positive Mild Eigenfunctions for Caputo Fractional Semilinear Evolution Equations with Nonlocal Initial Conditions
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Pairs (G,A) classify all gauge-preserving fermion Gaussian semigroups
The structure of gauge invariant Gaussian quantum operations on finite Fermion systems
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Sion's minimax theorem holds in Hadamard spaces
Sion's minimax theorem and the proximal point algorithm in Hadamard spaces
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Compactness of operators survives interpolation in Banach spaces
A new approach to interpolation of compact linear operators
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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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Wasserstein distance equals Sobolev norm of k-plane data
Stability Estimates for the $k$-plane Transform on Measures and a H\"older-Type Comparison Between Wasserstein and Max-Sliced Wasserstein Distances
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Nevanlinna counting function decides operator boundedness
Composition-differentiation operators on weighted Dirichlet spaces
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Weighted conical transforms receive full range descriptions
Range characterization of the weighted divergent beam and cone integral transforms
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Module-valued ODE solution spaces are finitely generated
Module-valued ordinary differential equations and structure of solution spaces
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Module-valued ODE solution spaces are finitely generated submodules
Module-valued ordinary differential equations and structure of solution spaces
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Scaled gradient method converges linearly for quasiconvex problems
A Scaled Gradient Modified Non-monotone Line Search Method for Constrained Optimization Problems
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Free Banach lattice over L equals the one over its opposite
On the free Banach lattice generated by a lattice
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Half balls yield better maximal operator bounds on Damek-Ricci spaces
Uncentred maximal operators with respect to half balls on Damek--Ricci spaces
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Nilpotents collapse hypergeometric functions to polynomials
Hypergeometric Functions of Nilpotent Operators: Functional Collapse and Structural Depth at Exceptional Points
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Aluthge iterates of affine composition operators converge strongly
Iterated Aluthge transforms of some composition operators on weighted Bergman spaces
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Rota-Baxter operators deform matrices for sliding-mode stability
Study of Rota-Baxter Operators in Matrix $C^*$-Algebras Motivated by Toeplitz Structures, and Applications to Sliding Mode Control
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2d/(d+1) Sidon bound holds for p-adic Rademacher chaos
Sidon-type inequalities for $p$-adic analogues of Rademacher chaos
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Localized couplings impose light-cone on entanglement spread
Light-Cone Structure of Propagation of Entanglement
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Localized operator classes on Fock space are strictly nested
Weakly, sufficiently or strongly localized operators on the Fock space in \mathh C^n
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Positive operator polynomials on matrix convex sets factor via sums of squares
Operator-Valued Positivstellens\"atze on Matrix Convex Sets and Free Products of Finite Abelian Groups