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Semi Classical Analysis

By Guillemin, Victor; Sternberg, Shlomo

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Book Id: WPLBN0003761061
Format Type: PDF eBook :
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Reproduction Date: 2015

Title: Semi Classical Analysis  
Author: Guillemin, Victor; Sternberg, Shlomo
Language: English
Subject: Programming, Mathematics, Mathematical Analysis
Collections: Technical Books Center
Publication Date:
Publisher: International Press of Boston Inc


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Guillemin, V., & Sternberg, S. (2013). Semi Classical Analysis. Retrieved from

Description: First seven chapters of this monograph discuss the techniques involved in symbolic calculus have their origins in symplectic geometry. Remaining chapters explains wave and heat trace formulas for globally defined semi classical differential operators on manifolds and equivariant versions of these results involving Lie group actions.

Table of Contents
TOC : Introduction - Symplectic geometry - The language of category theory - The Symplectic \Category - Generating functions - The calculus of 1/2 -densities - The Enhanced Symplectic \Category - Oscillatory 1/2 -densities - Pseudodi erential Operators - Trace invariants - Fourier Integral operators - Integrality in semi-classical analysis - Spectral theory and Stone's theorem - Differential calculus of forms, Weil's identity and the Moser trick - The method of stationary phase - The Weyl Transform.


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