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Quantization on Nilpotent Lie Groups

VERONIQUE FISCHER

Language

English

Book Paperback

Libristo code: 19415609

Publishers Birkhauser Verlag AG, April 2018

This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in... Full description

Libristo code: 19415609

125 b

51.59 €

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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.