Results 41 to 50 of about 107 (95)

Analytic hypoellipticity in dimension two

open access: yes, 1996
A simple geometric condition is sufficient for analytic hypoellipticity of sums of squares of two vector fields in ${\mathbb R}^2$. This condition is proved to be necessary for generic vector fields and for various special cases, and to be both necessary and sufficient for a closely related family of operators.
openaire   +2 more sources

Graded hypoellipticity of BGG sequences. [PDF]

open access: yesAnn Glob Anal Geom (Dordr), 2022
Dave S, Haller S.
europepmc   +1 more source

The hypoelliptic Laplacian, analytic torsion and Cheeger–Müller Theorem [PDF]

open access: yesComptes Rendus. Mathématique, 2013
The purpose of this Note is to prove a formula relating the hypoelliptic Ray–Singer metric and the Milnor metric on the determinant of the cohomology of a compact Riemannian manifold by a Witten-like deformation of the hypoelliptic Laplacian in de Rham theory.
openaire   +1 more source

On Analytic Solvability and Hypoellipticity For $\dbar$ and $\dbar_b

open access: yes, 1995
No abstract available.
Christ, Michael, Li, Song-Ying
openaire   +2 more sources

Analytic hypoellipticity for operators with symplectic characteristics

open access: yesKyoto Journal of Mathematics, 1985
The author is concerned with analytic hypoellipticity for operators with multiple characteristics. His purpose is to extend in particular the results of F. Trèves and G. Métivier who obtained some results for operators with symbol vanishing precisely to the order k on a submanifold \(\Sigma\), to some operators with symbols whose vanishing order on ...
openaire   +3 more sources

Analytic hypoellipticity for sums of squares of vector fields [PDF]

open access: yesAnnales Polonici Mathematici, 1998
This paper is a synthetic, lucid and up to date review of the status of the theory concerning analytic hypoellipticity of sums of squares operators. First the author discusses the local theory; there are two famous conjectures by François Treves, that spurred quite a number of papers on the subject.
openaire   +1 more source

A Cortical-Inspired Sub-Riemannian Model for Poggendorff-Type Visual Illusions. [PDF]

open access: yesJ Imaging, 2021
Baspinar E   +3 more
europepmc   +1 more source

Ornstein-Uhlenbeck semigroups in infinite dimension. [PDF]

open access: yesPhilos Trans A Math Phys Eng Sci, 2020
Lunardi A, Pallara D.
europepmc   +1 more source

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