Results 11 to 20 of about 25,094,278 (198)

A new microlocal analysis of hyperfunctions [PDF]

open access: yesJournal of Functional Analysis, 2021
In this work we study microlocal regularity of hyperfunctions defining in this context a class of generalized FBI transforms first introduced for distributions by Berhanu and Hounie. Using a microlocal decomposition of a hyperfunction and the generalized
G. Hoepfner, Luis F. Ragognette
semanticscholar   +1 more source

Toponyms in the Context of the Winter Farewell Rite on the Belarusian-Ukrainian

open access: yesВопросы ономастики, 2023
The article offers an analysis of the toponyms found in rhymed sentences accompanying the local rite of celebrating a farewell to winter and welcoming spring in Western Polesie (Brest, Volyn, Rivne regions).
Olga V. Belova
doaj   +1 more source

Microlocal Analysis and Beyond [PDF]

open access: yes, 2021
We shall explain how the idea of microlocal analysis of the seventies has been reformulated in the framework of sheaf theory in the eighties and then applied to various branches of mathematics, such as linear partial differential equations or symplectic topology.
openaire   +4 more sources

Microlocal Analysis of Generalized Radon Transforms from Scattering Tomography [PDF]

open access: yesSIAM Journal of Imaging Sciences, 2020
Here we present a novel microlocal analysis of generalized Radon transforms which describe the integrals of $L^2$ functions of compact support over surfaces of revolution of $C^{\infty}$ curves $q$.
James W. Webber, E. T. Quinto
semanticscholar   +1 more source

Components of Ethnic Identity of Tatars of Perm Territory (according to Spontaneous Texts)

open access: yesНаучный диалог, 2020
The question of the reflection of Tatar ethnicity in spontaneous texts is considered. Attention is paid to the level structure of ethnicity, which assumes the declared and “real” (categorical) levels.
E. S. Khudiakova
doaj   +1 more source

Regularity, Local and Microlocal Analysis in Theories of Generalized Functions [PDF]

open access: yes, 2007
We introduce a general context involving a presheaf A and a subpresheaf B of A. We show that all previously considered cases of local analysis of generalized functions (defined from duality or algebraic techniques) can be interpretated as the B-local ...
Marti, Jean-André
core   +3 more sources

Microlocal Analysis

open access: yesPublications of the Research Institute for Mathematical Sciences, 1983
The purpose of this paper is to review the main contributions on ''Microlocal Analysis'' in the real analytic category by the authors in the past fifteen years. However, there are only the compact statements of the principal results procured by the authors without proofs and some explanations on them.
Kashiwara, Masaki, Kawai, Takahiro
openaire   +3 more sources

100 years of Weyl’s law

open access: yesBulletin of Mathematical Sciences, 2016
We discuss the asymptotics of the eigenvalue counting function for partial differential operators and related expressions paying the most attention to the sharp asymptotics.
Victor Ivrii
doaj   +1 more source

An application of internal objects to microlocal analysis in generalized function algebras [PDF]

open access: yes, 2016
We illustrate the use of internal objects in the nonlinear theory of generalized functions by means of an application to microlocal analysis in Colombeau algebras.Comment: 14 ...
Vernaeve, Hans
core   +3 more sources

The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes [PDF]

open access: yes, 1995
Quantum fields propagating on a curved spacetime are investigated in terms of microlocal analysis. We discuss a condition on the wave front set for the corresponding n-point distributions, called ``microlocal spectrum condition'' ($\mu$SC).
A. Uhlmann   +27 more
core   +2 more sources

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