Results 141 to 150 of about 22,976,154 (181)

A Microlocal Analysis of the Lévy Generator with Conjugate Points

Journal of Geometric Analysis, 2023
We analyze the microlocal structure of the infinitesimal generator of a Lévy process on a closed Riemannian manifold when conjugate points are allowed.
Kevin Tully
semanticscholar   +1 more source

Microlocal analysis of singular measures

Mathematische Zeitschrift, 2021
The purpose of this article is to investigate the structure of singular measures from a microlocal perspective. Motivated by the result of De Philippis–Rindler (Ann Math 184:1017–1039, 2016), and the notions of wave cones of Murat–Tartar (Ann Scuola Norm
V. Banica, N. Burq
semanticscholar   +1 more source

Microlocal Analysis and Characterization of Sobolev Wavefront Sets Using Shearlets

Constructive approximation, 2020
Sobolev wavefront sets and 2-microlocal spaces play a key role in describing and analyzing the singularities of distributions in microlocal analysis and solutions of partial differential equations.
B. Han, Swaraj Paul, N. Shukla
semanticscholar   +1 more source

Mitigation of artifacts in multistatic and passive radar imaging using microlocal analysis

Inverse Problems
In the analysis of many synthetic aperture radar experiments the possibility of passive background signals being recorded simultaneously and corrupting the image is often overlooked. Our work addresses this by considering the multistatic experiment where
David McMahon, Clifford J Nolan
semanticscholar   +1 more source

Statistical microlocal analysis in two-dimensional x-ray CT

Inverse Problems
In many imaging applications it is important to assess how well the edges of the original object, f, are resolved in an image, frec, reconstructed from the measured data, g.
Anuj Abhishek, A. Katsevich, James W. Webber   +2 more
semanticscholar   +1 more source

A microlocal analysis of migration

Wave Motion, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ten Kroode, A. P. E., Smit, D.-J., Verdel, A. R.   +2 more
openaire   +2 more sources

Microlocal analysis of non-linear operators arising in Compton CT

Inverse Problems
We present a novel microlocal analysis of a non-linear ray transform, R, arising in Compton scattering tomography (CST). Due to attenuation effects in CST, the integral weights depend on the reconstruction target, f, which has singularities.
James W. Webber, Sean Holman
semanticscholar   +1 more source

Revisiting Microlocal Analysis: A Bridge Between Fractal Cohomology and Classical Function Spaces

Asymptotic Analysis
We hereafter go further than in our previous works ( David & Lapidus, 2024b , 2024e ), in the characterization of the cohomology groups via Taylor-like expansions and identify the corresponding coefficients in terms of discrete (and complex ...
Claire David, Michel L. Lapidus
semanticscholar   +1 more source

Microlocal analysis of internal wave attractors

Reviews in Mathematical Physics
Internal waves in two-dimensional aquaria can develop singular profiles, called internal wave attractors, in the long time evolution. We review the microlocal analysis of internal wave attractors, connecting the evolution of internal waves with classical
Jian Wang
semanticscholar   +1 more source

Microlocal analysis of double fibration transforms with conjugate points

Journal of Geometric Analysis
We study the structure of normal operators of double fibration transforms with conjugate points. Examples of double fibration transforms include Radon transforms, d-plane transforms on the Euclidean space, geodesic X-ray transforms, light-ray transforms,
Hiroyuki Chihara
semanticscholar   +1 more source