节选

《相空间中的调和分析》:The main point of Chapter 2 is the development of the Weyl calculusof pseudodifferential operators.

本书特色

《相空间中的调和分析》:The main point of Chapter 2 is the development of the Weyl calculusof pseudodifferential operators.

内容简介

The phrase “harmonic analysis in phase space” is a concise if somewhatinadequate name for the area of analysis on Rn that involves the Heisenberggroup, quantization, the Weyl operational calculus, the metaplectic representa-tion, wave packets, and related concepts: it is meant to suggest analysis on theconfiguration space Rn done by working in the phase space Rn x Rn. The ideasthat fall under this rubric have originated in several different fidds——Fourieranalysis, partial differential equations, mathematical physics, representationtheory, and number theory, among others.

preface
prologue．some matters of notation
chapter 1．the heisenberg group and its representations
chapter 2．quantization and pseudodifferential operators
chapter 3.wave packets and wave fronts
chapter 4.the metaplectic representation
chapter 5.the oscillator semigroup
appendix a. gaussian integras and a lemma on determinants
appendix b. some hilbert space results
bibliography
index