Noncommutative Microlocal Analysis, Part 1.
Material type:
- text
- computer
- online resource
- 9781470407261
- 515.3/53
- QA377 -- .T395 1984eb
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.
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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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