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Quantization on Nilpotent Lie Groups
English
125 b
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This book§presents a consistent development of the Kohn-Nirenberg type global quantization§theory in the setting of graded nilpotent Lie groups in terms of their§representations. It contains a detailed exposition of related background topics§on homogeneous Lie groups, nilpotent Lie groups, and the analysis of Rockland§operators on graded Lie groups together with their associated Sobolev spaces.§For the specific example of the Heisenberg group the theory is illustrated in§detail. In addition, the book features a brief account of the corresponding§quantization theory in the setting of compact Lie groups.§§The§monograph is the winner of the 2014 Ferran Sunyer i Balaguer Prize.§
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English
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