Quantization on nilpotent lie groups / Veronique Fischer, Michael Ruzhansky

Auteur principal : Fischer, Veronique, 1975-, AuteurCo-auteur : Ruzhansky, Michael, 1972-, AuteurType de document : Livre numériqueCollection : Progress in mathematics, 314Langue : anglais.Éditeur : Switzerland : Open Access : Birkhäuser, cop. 2016ISBN: 9783319295572.ISSN: 0743-1643.Sujet MSC : 22-02, Research exposition (monographs, survey articles) pertaining to topological groups
22E25, Lie groups, Nilpotent and solvable Lie groups
22C05, Topological groups, Lie groups, Compact groups
35Sxx, Partial differential equations - Pseudodifferential operators and other generalizations of partial differential operatorsEn-ligne : Springerlink
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Publisher’s description: 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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