TY  - BOOK
AU  - Taylor,Michael E.
TI  - Noncommutative Microlocal Analysis, Part 1
T2  - Memoirs of the American Mathematical Society
SN  - 9781470407261
AV  - QA377 -- .T395 1984eb 
U1  - 515.3/53 
PY  - 2005///
CY  - Providence
PB  - American Mathematical Society
KW  - Differential equations, Hypoelliptic
KW  - Pseudodifferential operators
KW  - Lie groups
KW  - Microlocal analysis
KW  - Electronic books
N1  - Intro -- Table of Contents -- Introduction -- I. Noncommutative Approach to Pseudodifferential Operators -- 1. Convolution Operators and Pseudodifferential Operators on Lie Groups -- 2. Symbols -- II. Harmonic Analysis on the Heisenberg Group -- 1. Convolution Operators on the Heisenberg Group -- 2. Right Invariant Pseudodifferential Operators on H[sup(n)] -- 3. Functional Calculus for the Heisenberg Laplacian and for the Harmonic Oscillator Hamiltonian -- 4. A Hypoellipticity Result of Rothschild -- III. Pseudodifferential Operators on Contact Manifolds -- 1. Operator Classes on Contact Manifolds -- 2. Subelliptic Operators on Contact Manifolds -- 3. Heat Equations and Spectral Asymptotics for Subelliptic Operators -- 4. Szegö Operators, Toeplitz Operators, and Hypoellipticity with Loss of Two Derivatives -- Appendices A. The Weyl Calculus -- Appendices B. Toeplitz Operators and More General Weyl Calculus -- Index of Symbol Classes -- Index of Other Notation -- References
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113799
ER  -