Book Details


Quantization on Nilpotent Lie Groups

Publication year: 2016

ISBN: 978-3-319-29558-9

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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.

Subject: Mathematics and Statistics, Topological Groups, Lie Groups, Abstract Harmonic Analysis, Functional Analysis, Mathematical Physics, graded Lie groups, Heisenberg group, compact Lie groups, pseudo-differential operators, Sobolev spaces, singular integral operators