Quantization on Nilpotent lie groups [electronic resource] / Veronique Fischer, Michael Ruzhansky.

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Quantization on Nilpotent lie groups [electronic resource] / Veronique Fischer, Michael Ruzhansky.

9783319295589 (electronic book)
3319295586 (electronic book)
9783319295572

Switzerland : Birkhäuser, 2016.

English

1 online resource (xiii, 557 pages) : color illustrations.

10.1007/978-3-319-29558-9 doi

QA387

512/.482

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.

Includes bibliographical references and index.

Open Access.
Access limited to authorized users.

Online resource; title from PDF title page (SpringerLink, viewed March 15, 2016).

Progress in mathematics (Boston, Mass.) ; v. 314.

Print version: 9783319295572

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