Quantization on Nilpotent Lie Groups

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The book explores Kohn-Nirenberg type global quantization theory within graded nilpotent Lie groups, focusing on their representations. It offers comprehensive coverage of related topics, including homogeneous and nilpotent Lie groups, as well as the analysis of Rockland operators and associated Sobolev spaces. Detailed illustrations are provided for the Heisenberg group, enhancing understanding of the theory. Additionally, it includes a concise overview of quantization theory in compact Lie groups, making it a valuable resource for advanced studies in this mathematical area.