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The Resource Quantization on Nilpotent lie groups, Veronique Fischer, Michael Ruzhansky

Quantization on Nilpotent lie groups, Veronique Fischer, Michael Ruzhansky

Creator
Author
Contributor
Summary
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
Language
eng
Work
Publication
Extent
1 online resource (xiii, 557 pages)
Contents
  • Preface
  • Introduction
  • Notation and conventions
  • 1 Preliminaries on Lie groups
  • 2 Quantization on compact Lie groups
  • 3 Homogeneous Lie groups
  • 4 Rockland operators and Sobolev spaces
  • 5 Quantization on graded Lie groups
  • 6 Pseudo-differential operators on the Heisenberg group
  • A Miscellaneous
  • B Group C* and von Neumann algebras
  • Schrödinger representations and Weyl quantization
  • Explicit symbolic calculus on the Heisenberg group
  • List of quantizations
  • Bibliography
  • Index
Isbn
9783319295572
Instance
Label
Quantization on Nilpotent lie groups
Title
Quantization on Nilpotent lie groups
Statement of responsibility
Veronique Fischer, Michael Ruzhansky
Creator
Contributor
Author
Subject
Genre
Language
eng
Summary
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Fischer, Veronique
Dewey number
512/.482
Illustrations
illustrations
Index
index present
LC call number
QA387
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Ruzhansky, M.
Series statement
Progress in mathematics,
Series volume
volume 314
http://library.link/vocab/subjectName
  • Nilpotent Lie groups
  • Nilpotent Lie groups
Label
Quantization on Nilpotent lie groups, Veronique Fischer, Michael Ruzhansky
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Introduction -- Notation and conventions -- 1 Preliminaries on Lie groups -- 2 Quantization on compact Lie groups -- 3 Homogeneous Lie groups -- 4 Rockland operators and Sobolev spaces -- 5 Quantization on graded Lie groups -- 6 Pseudo-differential operators on the Heisenberg group -- A Miscellaneous -- B Group C* and von Neumann algebras -- Schrödinger representations and Weyl quantization -- Explicit symbolic calculus on the Heisenberg group -- List of quantizations -- Bibliography -- Index
Control code
944502145
Dimensions
unknown
Extent
1 online resource (xiii, 557 pages)
File format
unknown
Form of item
online
Isbn
9783319295572
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-29558-9
Other physical details
color illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)944502145
Label
Quantization on Nilpotent lie groups, Veronique Fischer, Michael Ruzhansky
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Introduction -- Notation and conventions -- 1 Preliminaries on Lie groups -- 2 Quantization on compact Lie groups -- 3 Homogeneous Lie groups -- 4 Rockland operators and Sobolev spaces -- 5 Quantization on graded Lie groups -- 6 Pseudo-differential operators on the Heisenberg group -- A Miscellaneous -- B Group C* and von Neumann algebras -- Schrödinger representations and Weyl quantization -- Explicit symbolic calculus on the Heisenberg group -- List of quantizations -- Bibliography -- Index
Control code
944502145
Dimensions
unknown
Extent
1 online resource (xiii, 557 pages)
File format
unknown
Form of item
online
Isbn
9783319295572
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-29558-9
Other physical details
color illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)944502145

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