Results 211 to 220 of about 73,216 (269)

Inequalities and counterexamples for functional intrinsic volumes and beyond

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We show that analytic analogs of Brunn–Minkowski‐type inequalities fail for functional intrinsic volumes on convex functions. This is demonstrated both through counterexamples and by connecting the problem to results of Colesanti, Hug, and Saorín Gómez.
Fabian Mussnig, Jacopo Ulivelli
wiley   +1 more source

Beyond the Hodge theorem: Curl and asymmetric pseudodifferential projections

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We develop a new approach to the study of spectral asymmetry. Working with the operator curl:=∗d$\operatorname{curl}:={*}\mathrm{d}$ on a connected oriented closed Riemannian 3‐manifold, we construct, by means of microlocal analysis, the asymmetry operator — a scalar pseudodifferential operator of order −3$-3$.
Matteo Capoferri, Dmitri Vassiliev
wiley   +1 more source

On certain extremal Banach–Mazur distances and Ader's characterization of distance ellipsoids

open access: yesMathematika, Volume 72, Issue 1, January 2026.
Abstract A classical consequence of the John Ellipsoid Theorem is the upper bound n$\sqrt {n}$ on the Banach–Mazur distance between the Euclidean ball and any symmetric convex body in Rn$\mathbb {R}^n$. Equality is attained for the parallelotope and the cross‐polytope. While it is known that they are unique with this property for n=2$n=2$ but not for n⩾
Florian Grundbacher, Tomasz Kobos
wiley   +1 more source

A Weyl Matrix Perspective on Unbounded Non-Self-Adjoint Jacobi Matrices. [PDF]

open access: yesComplex Anal Oper Theory
Eichinger B, Lukić M, Young G.
europepmc   +1 more source

Enhancing Empirical Modal Extraction by Logarithmic Scaling and Normalization of Multi‐Area Signal Measurements

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This paper presents a hierarchical scaling and normalization method to multi‐area signal measurements that dynamically relates both the angular phase domain and its amplitude in empirical analysis of power system oscillations. The proposed approach combines logarithmic relations and the Hilbert transform to derive an effective multi‐area data scaling ...
Pedro Esquivel   +5 more
wiley   +1 more source

Numerical Study of Fourth‐Order Volterra Partial Integrodifferential Equation With Weakly Singular Kernel via Subdivision Collocation Approach

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
In the present article, an emerging subdivision‐based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives, the basis function of the subdivision scheme is used, whereas the time discretization is done with
Zainab Iqbal   +5 more
wiley   +1 more source

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