Quantization On Nilpotent Lie Groups (progress In Mathematics)
by Michael Ruzhansky /
2016 / English / PDF
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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.
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.
The monograph is the winner of the 2014 Ferran Sunyer i Balaguer
Prize.