TY -
BOOK
AU - Ponge, Raphae͏̈l S.
TI -
Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds
PB - American Mathematical Soc.
SN - 9780821841488
KW - Hypoelliptic operators
KW - Spectral theory (Mathematics)
KW - Calculus
KW - Differentiable manifolds
KW - Heisenberg-Mannigfaltigkeit
KW - Hypoelliptischer Operator
KW - Spektraltheorie
PY - 2008
N2 - Literaturverz. S. 131 - 134
N2 - Introduction -- Heisenberg manifolds and their main differential operators -- Intrinsic approach to the Heisenberg calculus -- Holomorphic families of HDOs -- Heat equation and complex powers of hypoelliptic operators -- Spectral asymptotics for hypoelliptic operators -- Weyl asymptotics and CR geometry -- Weyl asymptotics and contact geometry -- Organization of the memoir -- Heisenberg manifolds and their main differential operators -- Heisenberg manifolds -- Main differential operators on Heisenberg manifolds -- Intrinsic approach to the Heisenberg calculus -- Heisenberg calculus -- Principal symbol and model operators -- Hypoellipticity and Rockland condition -- Invertibility criteria for sublaplacians -- Invertibility criteria for the main differential operators -- Holomorphic families of HDOs -- Almost homogeneous approach to the Heisenberg calculus -- Holomorphic families of HDOs -- Composition of holomorphic families of HDOs -- Kernel characterization of holomorphic families of HDOs -- Holomorphic families of HDOs on a general Heisenberg manifold -- Ttransposes and adjoints of holomorphic families of HDOs -- Heat equation and complex powers of hypoelliptic operators -- Pseudodifferential representation of the heat kernel -- Heat equation and sublaplacians -- Complex powers of hypoelliptic differential operators -- Rockland condition and the heat equation -- Weighted Sobolev spaces -- Spectral asymptotics for hypoelliptic operators -- Spectral asymptotics for hypoelliptic operators -- Weyl asymptotics and CR geometry -- Weyl asymptotics and contact geometry
BT - Memoirs of the American Mathematical Society ; 906 = Vol. 194,1
CY - Providence, RI
UR - http://slubdd.de/katalog?TN_libero_mab2
ER -