| CHAPTER 1 SCOPE OF THE THEORY CHAPTER 2 REPRESENTATIONS OF SU（2），SL（2，R），AND CHAPTER 3 C VECTORS AND THE UNIVERSAL ENVELOPING ALGEBRA CHAPTER 4 REPRESENTATIONS OF COMPACT LIE GROUPS CHAPTER 5 STRUCTURE THEORY FOR NONCOMPACT GROUPS CHAPTER 6 HOLOMORPHIC DISCRETE SERIES CHAPTER 7 INDUCED REPRESENTATIONS CHAPTER 8 ADMISSIBLE REPRESENTATIONS CHAPTER 9 CONSTRUCTION OF DISCRETE SERIES CHAPTER 10 GLOBAL CHARACTERS CHAPTER 11 INTRODUCTION TO PLANCHEREL FORMULA CHAPTER 12 EXHAUSTION OF DISCRETE SERIES CHAPTER 13 PLANCHEREL FORMULA CHAPTER 14 IRREDUCLBLE TEMPERED REPRESENTATIONS CHAPTER 15 MINIMAL K TYPES CHAPTER 16 UNITARY REPRESENTATIONS APPENDIX A： ELEMENTARY THEORY OF LIE GROUPS APPENDIX B：REGULAR SINGULAR POINTS OF PARTIAL DIFFERENTIAL EQUATIONS APPENDIX C：ROOTS AND RESTRICTED ROOTS FOR CLASSICAL GROUPS NOTES REFERENCES INDEX OF NOTATION INDEX |
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