Results 31 to 40 of about 4,782 (151)
Hypoellipticity in infinite dimensions [PDF]
Progress in Analysis and Its Applications, 2010 ISAAC 09 conference ...
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On Global Hypoellipticity [PDF]
Communications in Partial Differential Equations, 2012 We consider a first order linear partial differential operator of principal type on a closed connected orientable two-dimensional manifold sending sections of one complex line bundle to sections of another. We prove that the assumption of global hypoellipticity of the operator implies a relation between the degrees of the line bundles and the Euler ...
A. P. Bergamasco, G. A. Mendoza, S. Zani
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Probability measures on compact groups which have square-integrable densities [PDF]
, 2008 We apply Peter–Weyl theory to obtain necessary and sufficient conditions for a probability measure on a compact group to have a square-integrable density.
Applebaum, D.
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Global hypoellipticity for a class of periodic Cauchy operators [PDF]
Journal of Mathematical Analysis and Applications, 2019 This note presents an investigation on the global hypoellipticity problem for Cauchy operators on T n + 1 belonging to the class L = ∏ j = 1 m ( D t + c j ( t ) P j ( D x ) ) , where P j ( D x ) are pseudo-differential operators on T n and c j ( t ) are ...
Fernando de 'Avila Silva
semanticscholar +1 more source
Theory of B(X)‐Module: Algebraic Module Structure of Generally Unbounded Infinitesimal Generators
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 The concept of logarithmic representation of infinitesimal generators is introduced, and it is applied to clarify the algebraic structure of bounded and unbounded infinitesimal generators. In particular, by means of the logarithmic representation, the bounded components can be extracted from generally unbounded infinitesimal generators.
Yoritaka Iwata, Ricardo Weder
wiley +1 more source
Fibered rotation vector and hypoellipticity for quasi‐periodic cocycles in compact Lie groups [PDF]
Bulletin of the London Mathematical Society, 2019 Using weak solutions to the conjugation equation, we define a fibered rotation vector for almost reducible quasi‐periodic cocycles in Td×G , G a compact Lie group, over a Diophantine rotation.
Nikolaos Karaliolios
semanticscholar +1 more source
Some Remarks on Hypoelliptic Operators which are not Micro-hypoelliptic
Publications of the Research Institute for Mathematical Sciences, 1992 We give an example of hypoelliptic operators which are not micro- hypoelliptic. Non-micro-hypoellipticity of the example arises from the oscillation of the coefficient with a zero of infinite order.
Morimoto, Yoshinori, Morioka, Tatsushi
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(Semi)-global analytic hypoellipticity for a class of “sums of squares” which fail to be locally analytic hypoelliptic [PDF]
Proceedings of the American Mathematical Society, 2018 The global and semi-global analytic hypoellipticity on the torus is proved for two classes of sums of squares operators, introduced in [1] and [2], satisfying the Hörmander condition and which fail to be neither locally nor microlocally analytic ...
G. Chinni
semanticscholar +1 more source
Global Gevrey hypoellipticity for the twisted Laplacian on forms
, 2017 We study in this paper the global hypoellipticity property in the Gevrey category for the generalized twisted Laplacian on forms. Different from the 0-form case, where the twisted Laplacian is a scalar operator, this is a system of differential operators
Li, Wei-Xi +2 more
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Uniforms hypoelliptic Green's functions
Journal de Mathématiques Pures et Appliquées, 1998 The authors construct an explicit fundamental solution for a class of subelliptic operators with polynomially growing coefficients. These operators also occur in the analysis of CR manifolds. While a number of qualitative results are known from the point of view of the regularity (or the propagation of (some kind of) singularities) explicit ...
Beals, Richard +2 more
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