Transversally elliptic operators

DOI10.1016/j.bulsci.2004.03.008zbMath1125.35302OpenAlexW2064262107MaRDI QIDQ707265

Bernard Gaveau, Yakar Kannai, Peter C. Greiner, Richard W. Beals

Publication date: 9 February 2005

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2004.03.008

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Degenerate parabolic equations (35K65) Degenerate elliptic equations (35J70) Subelliptic equations (35H20)

Related Items (6)

Holomorphic Green-Riemann functions. I: Constant coefficient operators ⋮ Global estimates for the fundamental solution of homogeneous Hörmander operators ⋮ Invertibility for a class of degenerate elliptic operators ⋮ Sobolev embeddings for a class of pseudodifferential operators ⋮ Maximum principles for weak solutions of degenerate elliptic equations with a uniformly elliptic direction ⋮ Asymptotic Behavior of Poisson Kernels on NA Groups

Cites Work

• Analytic wavefront sets and operators with multiple characteristics
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• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. I
• The Green function of model step two hypoelliptic operators and the analysis of certain tangential Cauchy Riemann complexes
• Singular solutions for sums of squares of vector fields
• Certain sums of Squares of Vector Fields Fail to be Analytic Hypoelliptic
• Hypoelliptic operators with double characteristics and related pseudo-differential operators
• The distribution of energy in the Brownian motion in the Gaussian field and analytic-hypoellipticity of certain subelliptic operators on the Heisenberg group
• Analytic hypo-ellipticity of a class of pseudodifferential operators with double characteristics and applications to the -neumann problem
• Exact fundamental solutions for a class of degenerate elliptic operators
• Nonanalytic-hypoellipticity for some degenerate elliptic operators
• Parametrices for pseudodifferential operators with multiple characteristics
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