Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
A FOURIER-TYPE CHARACTERISATION FOR GEVREY VECTORS ON HYPO-ANALYTIC STRUCTURES AND PROPAGATION OF GEVREY SINGULARITIES
View through CrossRef
AbstractIn this work we prove a Fourier–Bros–Iagolnitzer (F.B.I.) characterisation for Gevrey vectors on hypo-analytic structures and we analyse the main differences of Gevrey regularity and hypo-analyticity concerning the F.B.I. transform. We end with an application of this characterisation on a propagation of Gevrey singularities result for solutions of the nonhomogeneous system associated with the hypo-analytic structure for analytic structures of tube type.
Cambridge University Press (CUP)
Title: A FOURIER-TYPE CHARACTERISATION FOR GEVREY VECTORS ON HYPO-ANALYTIC STRUCTURES AND PROPAGATION OF GEVREY SINGULARITIES
Description:
AbstractIn this work we prove a Fourier–Bros–Iagolnitzer (F.
B.
I.
) characterisation for Gevrey vectors on hypo-analytic structures and we analyse the main differences of Gevrey regularity and hypo-analyticity concerning the F.
B.
I.
transform.
We end with an application of this characterisation on a propagation of Gevrey singularities result for solutions of the nonhomogeneous system associated with the hypo-analytic structure for analytic structures of tube type.
Related Results
What is Analytic Philosophy
What is Analytic Philosophy
Special Issue: What is Analytic PhilosophyReferencesHaaparantaG. P. Baker and P. M. S. Hacker. Frege: Logical Excavations. Oxford, Blackwell, 1984.M. Dummett. The Interpretation of...
Introduction
Introduction
Jean Baptiste Joseph Fourier’s powerful idea of decomposition of a signal into sinusoidal components has found application in almost every engineering and science field. An incompl...
Hypergeometric Gevrey-0 approximation for the Gevrey-k divergent series with application to eight-loop renormalization group functions of the O(N)-symmetric field model
Hypergeometric Gevrey-0 approximation for the Gevrey-k divergent series with application to eight-loop renormalization group functions of the O(N)-symmetric field model
AbstractMera et al. (Phys Rev Lett 115:143001, 2015) discovered that the hypergeometric function $${}_2F_1(a_1,a_2;b_1; \omega g)$$
...
Gevrey regularity of the solutions of inhomogeneous nonlinear partial differential equations
Gevrey regularity of the solutions of inhomogeneous nonlinear partial differential equations
In this article, we are interested in the Gevrey properties of the formal power series solutions in time of some inhomogeneous nonlinear partial differential equations with analyti...
The Cauchy problem for nearly hyperbolic or no-hyperbolic quasi-linear systems in Gevrey regularity
The Cauchy problem for nearly hyperbolic or no-hyperbolic quasi-linear systems in Gevrey regularity
Le problème de Cauchy pour les systèmes quasi-linéaires faiblement hyperboliques ou non-hyperboliques en régularité Gevrey
Nous considérons dans cette thèse le prob...
Van Hove singularities in graphene nanoflakes
Van Hove singularities in graphene nanoflakes
The density of states of graphene diverge at six M points in the Brillouin zone, known as Van Hove singularities. For a finite graphene structure, such as nanoflake, similar singul...
Gevrey versus q−Gevrey Asymptotic Expansions for Some Linear q−Difference-Differential Cauchy Problem
Gevrey versus q−Gevrey Asymptotic Expansions for Some Linear q−Difference-Differential Cauchy Problem
The asymptotic behavior of the analytic solutions of a family of singularly perturbed q-difference-differential equations in the complex domain is studied. Different asymptotic ex...
Sequential Propagation of Multiple Fractures in Horizontal Wells
Sequential Propagation of Multiple Fractures in Horizontal Wells
ABSTRACT:
Simultaneous fracturing and zipper fracturing of horizontal wells has rapidly evolved to the development of unconventional oil and gas. The fracture int...