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| Hardcover ISBN: | 978-1-4704-7989-3 |
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| Hardcover ISBN: | 978-1-4704-7989-3 |
| Product Code: | COLL/68 |
| List Price: | $65.00 |
| MAA Member Price: | $58.50 |
| AMS Member Price: | $52.00 |
| eBook ISBN: | 978-1-4704-8027-1 |
| Product Code: | COLL/68.E |
| List Price: | $59.00 |
| MAA Member Price: | $53.10 |
| AMS Member Price: | $47.20 |
| Hardcover ISBN: | 978-1-4704-7989-3 |
| eBook ISBN: | 978-1-4704-8027-1 |
| Product Code: | COLL/68.B |
| List Price: | $124.00 $94.50 |
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Book DetailsColloquium PublicationsVolume: 68; 2025; 233 ppMSC: Primary 22; 32; 43
Over the past hundred years, the Heisenberg group has been recognized as an important object in several areas of mathematics, including group representation theory, mathematical physics, complex analysis in several variables, partial differential equations, and differential geometry. This book presents a concise and readable introduction to all these aspects, together with brief descriptions of further research in the area over the past few decades. The author also provides copious references.
Prerequisites for the potential reader are a graduate-level course in modern real analysis, plus the rudiments of functional analysis, Fourier analysis, differential geometry, and Lie groups.
ReadershipGraduate students and researchers interested in analysis on the Heisenberg group and various applications.
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Table of Contents
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Chapters
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Getting to know the Heisenberg group
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Harmonic analysis on the Heisenberg group
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Analysis of differential operators
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Analysis and geometry of homogeneous spaces
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The discrete Heisenberg group: A case study
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A glimpse of sub-Riemannian geometry
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
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Over the past hundred years, the Heisenberg group has been recognized as an important object in several areas of mathematics, including group representation theory, mathematical physics, complex analysis in several variables, partial differential equations, and differential geometry. This book presents a concise and readable introduction to all these aspects, together with brief descriptions of further research in the area over the past few decades. The author also provides copious references.
Prerequisites for the potential reader are a graduate-level course in modern real analysis, plus the rudiments of functional analysis, Fourier analysis, differential geometry, and Lie groups.
Graduate students and researchers interested in analysis on the Heisenberg group and various applications.
-
Chapters
-
Getting to know the Heisenberg group
-
Harmonic analysis on the Heisenberg group
-
Analysis of differential operators
-
Analysis and geometry of homogeneous spaces
-
The discrete Heisenberg group: A case study
-
A glimpse of sub-Riemannian geometry
