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293 papers in math.FA · page 1
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Invariant subspaces described for superharmonic weighted Dirichlet spaces
Superharmonically Weighted Dirichlet Spaces
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Averaged derivatives characterize H^p for quasiregular maps
Hardy spaces and quasiregular mappings: averaged derivatives and the $\mathbb{BMO}$ case
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Strongly integrable operator functions generate norm-countably additive measures
Strongly Integrable Operator-Valued Functions, Generated Vector Measures and Compactness of Integrals
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Regular inclusions of simple C*-algebras are twisted crossed products
Regular irreducible inclusions of simple $C^*$-algebras and crossed product structure
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SE(2) Langevin dynamics yield effective diffusion on R²
Hypocoercive Langevin dynamics on the Lie group $\mathrm{SE}(2)$
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Conformable Laplace transform solves diffusion equations
On solution of Diffusion Equation using Conformable Laplace Transform
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ISS open problem resolved via structured maximal regularity
Implications of structured continuous maximal regularity
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Conditions equate norm attainment and weak continuity for multilinear maps
Norm attainment for multilinear operators and polynomials on Banach Spaces and Banach lattices
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ℓ_p-balls have intrinsic volumes given by one-dimensional integrals
Intrinsic volumes of $\ell_p$-balls and a continuum of Maxwell--Poincar\'e--Borel laws for their curvature measures
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Kannan mappings equate weakest conditions
A comparison of the weakest contractive conditions for Banach and Kannan mappings
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Condensed sets recover Serre duality and Riemann-Roch for complex manifolds
Condensed Mathematics and Complex Geometry
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Kubo-Ando means extended to completely positive maps
Relative Kubo-Ando Means of Completely Positive Maps
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Bounded averaging projections hold in nonconvex Lorentz spaces
Boundedness of the averaging projections in nonlocally convex Lorentz sequence spaces and applications to basis theory
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Abelian locally von Neumann algebras reduce to direct integral diagonals
Functional Models of Abelian Locally von Neumann Algebras and Direct Integrals of Locally Hilbert Spaces
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Positivity makes generalized Stokes operator invertible on cylindrical domains
Well-posedness of a generalized Stokes operator on domains with cylindrical ends via layer-potentials
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Strip measures with pure-point spectra grow exponentially
Some properties of Fourier quasicrystals and measures on a strip
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Equivariant subhomogeneous C* bundles are pullbacks from compact spaces
Obstructed subhomogeneous-bundle extensions and embeddings
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Fujii-Seo density vanishes for maximal plurisubharmonic functions
Maximal Plurisubharmonic Functions and Fujii-Seo Determinants in Hilbert spaces
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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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Learning adaptive bases from data lifts spectral PDE operators
Don't Fix the Basis -- Learn It: Spectral Representation with Adaptive Basis Learning for PDEs
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Every prevision is the infimum of sublinear previsions
Just Previsions
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Notes outline rough path theory for rough PDEs and SPDE applications
Rough path theory and an introduction to rough partial differential equations
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Containment relations define higher-order persistence diagrams
Higher-order Persistence Diagrams
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Neumann eigenvalues converge to Steklov under boundary concentration
Weighted Neumann-to-Steklov limits for nonlinear eigenvalues and trace constants
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Extension principles build nonuniform wavelet frames on non-Archimedean fields
Construction of Nonuniform Wavelet Frames on Non-Archimedean Fields
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Sparse domination yields sharp matrix-weighted bounds for martingale squares
Sharp weighted norm estimates for martingale square functions
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Commuting operator tuples have spectral radius fixed by normed space
On the spectral radius of operator tuples
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Hypoelliptic negative powers obey Weyl asymptotics on graded groups
Weyl asymptotic formulas in the nilpotent Lie group setting
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Banach space is UMD iff tangent processes obey tail bound
Characterizations of the UMD property via tail estimates for tangent processes
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New Rao-Blackwellization cuts variance in MCMC light transport
Rao-Blackwellized Markov chain Monte Carlo Light Transport
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Karhunen-Loève series uses covariance eigenfunctions for optimal random field series
A Primer on the Karhunen-Lo\`eve Expansion
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Recovery map iterates converge to limit on recoverable states
Recoverable states on von-Neumann algebras
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Rank-attaining atomic measures solve moment problem on Weierstrass cubics
A constructive approach to the truncated moment problem on cubic curves in Weierstrass form
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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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Chirp conjugation transfers Littlewood-Paley theory to FrFT
Recent progress of Littlewood-paley Theory with chirp function
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Finite point evaluations reconstruct convex Lipschitz functionals
Structure-Preserving Reconstruction of Convex Lipschitz Functionals on Hilbert Spaces from Finite Samples
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Weights characterized for variable fractional maximal operator
Characterization of weights for the variable fractional maximal operator and weighted inequalities for variable fractional rough operators
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SGD provably trains attention and LoRA with no data or size assumptions
Convergent Stochastic Training of Attention and Understanding LoRA
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Unique recovery from phaseless STLCT holds for Gaussian shift-invariant signals
Stable phase retrieval from short-time linear canonical transforms of signals in Gaussian shift-invariant spaces
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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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Quantum variance vanishes for operators on large hyperbolic surfaces
Quantum Ergodicity on large hyperbolic surfaces for local and pseudolocal operators
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Square commutativity forces additive maps to be scaled homo-anti-homo sums
Commutativity preserving mappings in Banach algebras
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Schur patterns mark which compact-operator ideals fail submajorisation closure
Schur bounded patterns and submajorisation
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Weighted backward shifts admit U-frequent hypercyclic subspaces without frequent vectors
On hypercyclic spaces and (common) $\mathscr{U}$-frequently hypercyclic spaces
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Weights make composition-differentiation operators posinormal on H²
On posinormality of weighted composition-differentiation operators on $H^2(\mathbb{D})$
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Super-Poincaré inequality equivalent to log-Sobolev forms
A note on the equivalence of super-Poincar\'e inequality
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Octonion isometries hold exactly when bases map to weak ones
Octonionic isometric isomorphisms and partial isometry
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Octonionic Riesz-Dunford calculus defined for power-associative operators
Octonionic Riesz-Dunford functional calculus
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ℓ₁, ℓ∞, c spheres show expand-contract plasticity
On the plasticity of the unit spheres of $\ell_1$, $\ell_{\infty}$, $c$, and Hilbert spaces