Geodesic inversion and Sobolev spaces on Heisenberg type groups

DOI10.1007/BF02383610zbMath1092.43010OpenAlexW2012965651MaRDI QIDQ2368527

Francesca Astengo, Bianca Di Blasio

Publication date: 21 April 2006

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02383610

zbMATH Keywords

Sobolev spacesuniform boundednessHeisenberg type groupsgeodesic inversionIwasawa \(N\)-groups

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

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Estimations optimales du noyau de la chaleur sur les groupes de type Heisenberg ⋮ The Cayley transform and uniformly bounded representations

Cites Work

• Quasiconformal mappings on the Heisenberg group
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Harmonic analysis on solvable extensions of H-type groups
• Subelliptic estimates and function spaces on nilpotent Lie groups
• An approach to symmetric spaces of rank one via groups of Heisenberg type
• \(H\)-type groups and Iwasawa decompositions
• The Cayley transform and uniformly bounded representations
• On L(p,q) spaces
• Interpolation of Linear Operators
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
• Uniformly Bounded Representations, II. Analytic Continuation of the Principal Series of Representations of the n x n Complex Unimodular Group
• Uniformly Bounded Representations and Harmonic Analysis of the 2 x 2 Real Unimodular Group
• Uniformly Bounded Representations III: Intertwining Operators for the Principal Series on Semisimple Groups
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)

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