Results 41 to 50 of about 25,094,278 (198)

Beyond the Hodge theorem: Curl and asymmetric pseudodifferential projections

Journal 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

Soft bounds for local triple products and the subconvexity‐QUE implication for GL2$\mathrm{GL}_2$

Mathematika, Volume 71, Issue 4, October 2025.
Abstract We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity.
Paul D. Nelson
wiley   +1 more source

Local geometric properties of conductive transmission eigenfunctions and applications

European Journal of Applied Mathematics
The purpose of the paper is twofold. First, we show that partial-data transmission eigenfunctions associated with a conductive boundary condition vanish locally around a polyhedral or conic corner in $\mathbb{R}^n$ , $n=2,3$ .
Huaian Diao, Xiaoxu Fei, Hongyu Liu
doaj   +1 more source

Global and microlocal aspects of Dirac operators: Propagators and Hadamard states

Mathematische Nachrichten, Volume 298, Issue 9, Page 2942-2974, September 2025.
Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
wiley   +1 more source

Microlocal analysis of quantum fields on curved spacetimes: Analytic wavefront sets and Reeh-Schlieder theorems

, 2002
We show in this article that the Reeh-Schlieder property holds for states of quantum fields on real analytic spacetimes if they satisfy an analytic microlocal spectrum condition.
Alexander Strohmaier, Beckman D., Borchers H. J., Bros J., Bros J., Bros J., Bros J., Bros J., Bros J., Brunetti R., Buchholz D., Buchholz D., Bär C., Dimock J., Duistermaat J. J., Fulling S. A., Halvorson H., Hollands S., Hollands S., Junker W., Jäkel C. D., Jäkel C. D., Kratzert K., Manfred Wollenberg, Radzikowski M. J., Rainer Verch, Sahlmann H., Sahlmann H., Strohmaier A., Summers S. J., Summers S. J., Verch R., Verch R., Wald R. M.   +33 more
core   +1 more source

Cross‐Border Regional Innovation Systems and Climate Adaptation: A Tripoint Viticultural Analysis

Tijdschrift voor Economische en Sociale Geografie, Volume 116, Issue 3, Page 280-296, July 2025.
This study examines sustainability transformation in the Luxembourg–Germany–France viticultural border region through the Cross‐Border Regional Innovation Systems framework. German vintners lead in sustainable practices, prioritizing qualitative improvement over expansion while achieving enhanced resilience through diversification and self‐reliance ...
Nicklas Riekötter
wiley   +1 more source

An introduction to the distorted Fourier transform

Advanced Nonlinear Studies
This article is intended as an introduction to the distorted Fourier transform associated with a Schrödinger operator on the line or the half-line. This versatile tool has seen numerous applications in nonlinear PDE in recent years.
Ko Haram, Schlag Wilhelm
doaj   +1 more source

Professor Mikio Sato and Microlocal Analysis

Publications of the Research Institute for Mathematical Sciences, 2011
We describe the impact of microlocal analysis on mathematical sciences and the role Prof. Mikio Sato played in its creation and development.
Kashiwara, Masaki, Kawai, Takahiro
openaire   +3 more sources

Central limit theorem for smooth statistics of one‐dimensional free fermions

Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.
Abstract We consider the determinantal point processes associated with the spectral projectors of a Schrödinger operator on R$\mathbb {R}$, with a smooth confining potential. In the semiclassical limit, where the number of particles tends to infinity, we obtain a Szegő‐type central limit theorem for the fluctuations of smooth linear statistics.
Alix Deleporte, Gaultier Lambert
wiley   +1 more source