Results 31 to 40 of about 8,002 (202)

Boundedness and approximation of Hilbert-type operators in the Triebel–Lizorkin spaces: Applications to non-smooth volatility dynamics

AIMS Mathematics
This paper investigates the boundedness and approximation properties of Hilbert-type singular integral operators within the framework of Triebel–Lizorkin spaces $ F^{s}_{p, q}(\mathbb{R}) $, a refined class of function spaces central to microlocal and ...
Philip Ajibola Bankole, Mohsin Nasir, Manuel De la Sen, Sina Etemad   +3 more
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

Application of Microlocal Analysis to an Inverse Problem Arising from Financial Markets [PDF]

, 2014
One of the most interesting problems discerned when applying the Black--Scholes model to financial derivatives, is reconciling the deviation between expected and observed values.
Doi, Shin-ichi, Ota, Yasushi
core  

Microlocal Properties of Bisingular Operators

, 2013
We study the microlocal properties of bisingular operators, a class of operators on the product of two compact manifolds. We define a wave front set for such operators, and analyse its properties.
Borsero, M., Schulz, R.
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

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

Regular Bohr-Sommerfeld quantization rules for a h-pseudo-differential operator: The method of positive commutators

, 2016
We revisit in this Note the well known Bohr-Sommerfeld quantization rule (BS) for 1-D Pseudo-differential self-adjoint Hamiltonians within the algebraic and microlocal framework of Helffer and Sj\"ostrand; BS holds precisely when the Gram matrix ...
Ifa, Abdelwaheb, Rouleux, Michel
core   +5 more sources

The quantization of Maxwell theory in the Cauchy radiation gauge: Hodge decomposition and Hadamard states

Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.
Abstract The aim of this paper is to prove the existence of Hadamard states for the Maxwell equations on any globally hyperbolic spacetime. This will be achieved by introducing a new gauge fixing condition, the Cauchy radiation gauge, that will allow to suppress all the unphysical degrees of freedom. The key ingredient for achieving this gauge is a new
Simone Murro, Gabriel Schmid
wiley   +1 more source

Microlocal analysis of forced waves [PDF]

Pure and Applied Analysis, 2019
27 pages, 4 figures; minor changes.
Dyatlov, Semyon, Zworski, Maciej
openaire   +5 more sources

Microflexiblity and local integrability of horizontal curves

Mathematische Nachrichten, Volume 297, Issue 9, Page 3252-3287, September 2024.
Abstract Let ξ$\xi$ be an analytic bracket‐generating distribution. We show that the subspace of germs that are singular (in the sense of control theory) has infinite codimension within the space of germs of smooth curves tangent to ξ$\xi$. We formalize this as an asymptotic statement about finite jets of tangent curves.
Álvaro del Pino, Tobias Shin
wiley   +1 more source