Analysis & PDE · Mathematics & Statistics
Functional Analysis
The newest papers in Functional Analysis that ReadSearch has read, newest first. Each links to its own page, with its authors, date, where it was published and the original.
39 papers, from 7 September 2026 to 30 October 2026: 39 arXiv preprints.
Get the few papers worth your time in Functional Analysis every morning.
Follow Functional Analysis and ReadSearch reads its new papers each day, then brings you the few worth reading, each with its key finding in a sentence.
Newest papers
Quantum Bernstein--Kolmogorov--Arnold approximation
This paper addresses the expressivity and representation gap in Quantum Neural Networks by establishing a quantum analogue of the classical Kolmogorov--Arnold representation theorem.On approximate support versions of Donoho--Stark uncertainty principles for $k$-Hadamard operators
In this paper we present results related to Donoho--Stark type uncertainty principles that were proved in the article "The uncertainty principle: variations on a theme" by Wigderson and Wigderson…Sharp Tilting Inequalities
For positive semidefinite matrices $A,B$ and $1/2\leα\le1$, we establish $\operatorname{Tr}\!\left[A\,D\log(A^α+B^α)(B^α)\right] \le s^s(1-s)^{1-s}\operatorname{Tr}[A^αB^{1-α}]$, where $s=(1-α)/α$…Boundary Geometry Determines Optimal Shallow ReLU Approximation under Weighted Coefficient Constraints
We study how boundary geometry affects $L^q$ approximation by shallow ReLU neural networks on convex bodies $K\subset\mathbb R^d$.The $\varepsilon$-smoothed Entanglement of Formation and its relation to the Moreau-Yosida approximation
We describe a family of convex continuous functions $E_{F,\varepsilon}$, $\varepsilon\in(0,1]$, on the set of states of a bipartite quantum system (consisting of finite-dimensional or…Complete entropy contraction from conditional hyperboundedness
For finite-dimensional quantum channels compatible with a faithful conditional expectation, we show that conditional hyperboundedness and strict GNS contraction together yield a relative entropy…The Geometry of Limits in ReLU Function Spaces
We study the geometry and closure of spaces of functions realized by ReLU neural networks of fixed architecture.Banach-Cesaro positive operator-valued measure
We construct a family of bounded, finitely additive, covariant positive operator-valued measures (POVMs) on the real line by applying generalised Banach-Cesaro asymptotic averaging to locally finite…Exact probability laws of random inner products: Dirichlet splines, overlaps, uncertainty, and Bargmann invariants
Inner products of random matrices and random quantum states---such as orbital inner products, expectation values, overlaps, and cyclic Bargmann invariants---are shown to follow from two underlying…A Pricing and Hedging Framework for Infinite-Dimensional Financial Markets
In this paper, we provide a comprehensive study of how the classical Black--Scholes-type market framework behaves in an infinite-dimensional setting.Certifiably Correct Fréchet Means in Orbit Spaces
We study Fréchet means in orbit spaces of finite orthogonal group actions.Certified neural approximations for parabolic obstacle problems
Residual-trained neural surrogates carry no error guarantee, a limitation for free-boundary problems such as phase change and contact.Constructive Universal Approximation by Infinite-Dimensional Neural Networks via Gaussian-Weighted Ridgelet Transform
Neural networks whose inputs are functions, as in operator learning, are usually shown to be universal by existence arguments, either by reduction to finite-dimensional networks or by…On the coincidence of discrete and continuous definitions of Entanglement of Formation
It is proved that every Borel ensemble of pure states on a separable bipartite Hilbert space with finite average entanglement admits a countable ensemble with the same barycenter and arbitrarily…Norm properties of quantum uniformity measures
We prove that for $k=4$ the quantum uniformity measures are norms, whereas for every $k\geq5$ the triangle inequality fails.Classification of bipartite observables II: NIP observables and the Todorcevic trichotomy
A bipartite observable is stable when its idealized responses are continuous.Second quantization and compactness of induced Gaussian quantum Markov semigroups
We characterize compactness of the Hilbert-Schmidt semigroups induced by finite-mode Gaussian quantum Markov semigroups with a faithful normal invariant state.A Computationally-Efficient Closed-Form $C^{s,1}$-Extension Formula
We identify explicit closed-form and variational formulae for interpolating the exact values and derivatives through order $s$ of a $C^{s,1}$ function $f:\mathbb{R}^d\to\mathbb{R}$ at $N$ distinct…Distributionally Robust Adaptive Iterative Covariance Steering for Small-Body Proximity Operations
Autonomous small-body proximity operations require continuous-thrust guidance under uncertain gravity, solar-radiation pressure (SRP), and stochastic disturbances.The Differential Structure of Generators of KMS-Symmetric Quantum Markov Semigroups
A KMS-symmetric quantum Markov semigroup is completely determined by the quadratic form in induces on the GNS Hilbert space.