Results 31 to 40 of about 25,094,278 (198)
Classical and microlocal analysis of the x-ray transform on Anosov manifolds [PDF]
, 2019 We complete the microlocal study of the geodesic X-ray transform on Riemannian manifolds with Anosov geodesic flow initiated by Guillarmou and pursued by Guillarmou and the second author.
S. Gouezel, Thibault Lefeuvre
semanticscholar +1 more source
Optimal embeddings of ultradistributions into differential algebras
, 2017 We construct embeddings of spaces of non-quasianalytic ultradistributions into differential algebras enjoying optimal properties in view of a Schwartz type impossibility result, also shown in this article. We develop microlocal analysis in these algebras
Debrouwere, Andreas +2 more
core +2 more sources
Microlocal Analysis and Interacting Quantum Field Theories: Renormalization on Physical Backgrounds [PDF]
, 1999 We present a perturbative construction of interacting quantum field theories on any smooth globally hyperbolic manifold. We develop a purely local version of the Stueckelberg-Bogoliubov-Epstein-Glaser method of renormalization using techniques from ...
Brunetti, Romeo, Fredenhagen, Klaus
core +1 more source
Classical and Quantum Dynamics on Orbifolds
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We present two versions of the Egorov theorem for orbifolds. The first one is a straightforward extension of the classical theorem for smooth manifolds.
Yuri A. Kordyukov
doaj +1 more source
New Frontiers of Fractal Uncertainty
Fractal and FractionalWe extend the classical fractal uncertainty principle (FUP) framework in time-frequency analysis by exploring several novel directions. First, we generalize the FUP beyond the classical Gaussian window by investigating non-Gaussian windows and the ...
Saeed Hashemi Sababe, Ismail Nikoufar
doaj +1 more source
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
Quasi‐Fuchsian flows and the coupled vortex equations
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract We provide an alternative construction of the quasi‐Fuchsian flows introduced by Ghys. Our approach is based on the coupled vortex equations that allows to see these flows as thermostats on the unit tangent bundle of the Blaschke metric, uniquely determined by a conformal class and a holomorphic quadratic differential.
Mihajlo Cekić, Gabriel P. Paternain
wiley +1 more source
The weak (1,1) boundedness of Fourier integral operators with complex phases
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
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
Two-microlocal regularity of quasimodes on the torus
, 2017 We study the regularity of stationary and time-dependent solutions to strong perturbations of the free Schr\"odinger equation on two-dimensional flat tori.
Macià, Fabricio, Rivière, Gabriel
core +1 more source