Results 1 to 10 of about 25,094,278 (198)
Microlocal analysis for Gelfand–Shilov spaces [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2023 AbstractWe introduce an anisotropic global wave front set of Gelfand–Shilov ultradistributions with different indices for regularity and decay at infinity. The concept is defined by the lack of super-exponential decay along power type curves in the phase space of the short-time Fourier transform.
Luigi Rodino, Patrik Wahlberg
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Applications of Microlocal Analysis in Inverse Problems [PDF]
Mathematics, 2020 This note reviews certain classical applications of microlocal analysis in inverse problems. The text is based on lecture notes for a postgraduate level minicourse on applications of microlocal analysis in inverse problems, given in Helsinki and Shanghai
Mikko Salo
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Microlocal analysis of forced waves [PDF]
Pure and Applied Analysis, 2019 27 pages, 4 figures; minor changes.
Dyatlov, Semyon, Zworski, Maciej
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Three lectures on Algebraic Microlocal Analysis [PDF]
, 2013 These three lectures present some fundamental and classical aspects of microlocal analysis. Starting with the Sato's microlocalization functor and the microsupport of sheaves, we then construct a microlocal analogue of the Hochschild homology for sheaves
Schapira, Pierre
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On elastic contact problems of micro-periodic slant layered composite pressed by a rigid punch with a parabolic or rectangular shape [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2021 The paper presents an analysis of the influence of the shape of the rigid body pressed into the micro-periodic composite half-space on the examples of two punch shapes – parabolic and rectangular. The presented material is a layered body that consists of
Piotr Sebestianiuk +2 more
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Microlocal analysis of waves across the event horizon of an extremal rotating black hole [PDF]
Journal of Mathematics and Physics, 2023 Static black holes contain regions of spacetime, which not even light can escape from. In the center of mass frame, these blocks are separated from each other by event horizons.
A. Kujanpää
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Anisotropic global microlocal analysis for tempered distributions [PDF]
Monatshefte für Mathematik (Print), 2022 We study an anisotropic version of the Shubin calculus of pseudodifferential operators on Rd\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
L. Rodino, P. Wahlberg
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Renormalization in String-Localized Field Theories: A Microlocal Analysis [PDF]
Annales de l'Institute Henri Poincare. Physique theorique, 2021 Using methods of microlocal analysis, we prove that the regularization of divergent amplitudes stays a pure ultraviolet problem in string-localized field theories, despite the weaker localization. Thus, power counting does not lose its significance as an
Christian Gaß
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Microlocal analysis of borehole seismic data [PDF]
Inverse Problems and Imaging, 2021 Borehole seismic data is obtained by receivers located in a well, with sources located on the surface or another well. Using microlocal analysis, we study possible approximate reconstruction, via linearized, filtered backprojection, of an isotropic sound
R. Felea +3 more
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Isometric Extensions of Anosov Flows via Microlocal Analysis [PDF]
Communications in Mathematical Physics, 2021 The aim of this note is to revisit the classical framework developed by Brin and Pesin (Izv Akad Nauk SSSR Ser Mat 38:170–212, 1974), Brin (Mat Zametki 18(3):453–465, 1975, Funkcional Anal i Priložen 9(1):9–19, 1975) and others to study ergodicity and ...
Thibault Lefeuvre
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