» Solutions for several systems of algebraic differential-difference equations in $\mathbb{C}^n$
18/04/24 20:24 from math.CV updates on arXiv.org
arXiv:2404.11102v1 Announce Type: new Abstract: In this article, we introduce a new method for solving general quadratic functional equations in $\mathbb{C}^n$. By utilizing Nevanlinna theory in $\mathbb{C}^n$, we explore the existence a...

» Metric Sobolev spaces I: equivalence of definitions
18/04/24 20:24 from math.FA updates on arXiv.org
arXiv:2404.11190v1 Announce Type: new Abstract: This is the first of two works concerning the Sobolev calculus on metric measure spaces and its applications. In this work, we focus on several notions of metric Sobolev space and on their ...

» Pauli Hamiltonians with an Aharonov-Bohm Flux
18/04/24 20:24 from math.SP updates on arXiv.org
arXiv:2312.11971v3 Announce Type: replace-cross Abstract: We study a two-dimensional Pauli operator describing a charged quantum particle with spin $1/2$ moving on a plane in presence of an orthogonal Aharonov-Bohm magnetic flux. We clas...

» Separating diameter two properties from their weak-star counterparts in spaces of Lipschitz functions
18/04/24 20:24 from math.FA updates on arXiv.org
arXiv:2404.11430v1 Announce Type: new Abstract: We address some open problems concerning Banach spaces of real-valued Lipschitz functions. Specifically, we prove that the diameter two properties differ from their weak-star counterparts i...

» Cluster scattering coefficients in rank 2
18/04/24 20:24 from math.RT updates on arXiv.org
arXiv:2404.11381v1 Announce Type: cross Abstract: The purpose of this note is to record and share some conjectures on cluster scattering diagrams of rank 2.

» Borel transforms of functions from a parameterized family of Hilbert spaces of entire functions
18/04/24 20:24 from math.CV updates on arXiv.org
arXiv:2404.11548v1 Announce Type: new Abstract: We introduce a continuous scale of Hilbert spaces of entire functions $P_\beta (D)$ for a bounded convex domain $D$ on the complex plane. For the parameters $\beta \in (\frac 12;\frac 32)$ ...

» Allocation Mechanisms in Decentralized Exchange Markets with Frictions
18/04/24 20:24 from math.FA updates on arXiv.org
arXiv:2404.10900v1 Announce Type: cross Abstract: The classical theory of efficient allocations of an aggregate endowment in a pure-exchange economy has hitherto primarily focused on the Pareto-efficiency of allocations, under the implic...

» Modular resurgent structures
18/04/24 20:24 from math.CV updates on arXiv.org
arXiv:2404.11550v1 Announce Type: cross Abstract: The theory of resurgence uniquely associates a factorially divergent formal power series with a collection of non-perturbative, exponential-type corrections paired with a set of complex n...