Taylor, Michael E. <br/><br/>
Noncommutative Microlocal Analysis, Part 1. 

 - 1st ed. 
 - 1 online resource (188 pages) 
 - Memoirs of the American Mathematical Society ;  v.52 .
 - Memoirs of the American Mathematical Society .
<br/><br/>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. 
<br/><br/><label>ISBN: </label>9781470407261 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Differential equations, Hypoelliptic.<br/>Pseudodifferential operators.<br/>Lie groups.<br/>Microlocal analysis.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA377 -- .T395 1984eb 
<br/><br/><label>Dewey Class. No.: </label>515.3/53