Description
Book SynopsisProvides a coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This book features: a treatment of the representations of the Heisenberg group, their associated integral transforms, and the metaplectic representation.
Trade Review"[This book] is a valiant attempt to present an account of [harmonic analysis in phase space], with an emphasis on the analysis-quantum mechanics and pseudodifferential operators... The author has taken great pains to express himself clearly and ... the notation is consistent throughout... The author should be congratulated on a very valuable addition to the library of harmonic analysis."--Zentralblatt fur Mathematik
Table of Contents*Frontmatter, pg. i*CONTENTS, pg. v*PREFACE, pg. vii*PROLOGUE. SOME MATTERS OF NOTATION, pg. 1*CHAPTER 1. THE HEISENBERG GROUP AND ITS REPRESENTATIONS, pg. 9*CHAPTER 2. QUANTIZATION AND PSEUDODIFFERENTIAL OPERATORS, pg. 78*CHAPTER 3. WAVE PACKETS AND WAVE FRONTS, pg. 143*CHAPTER 4. THE METAPLECTIC REPRESENTATION, pg. 170*CHAPTER 5. THE OSCILLATOR SEMIGROUP, pg. 223*APPENDIX A. GAUSSIAN INTEGRALS AND A LEMMA ON DETERMINANTS, pg. 256*APPENDIX B. SOME HILBERT SPACE RESULTS, pg. 260*BIBLIOGRAPHY, pg. 265*INDEX, pg. 275
