The Heisenberg Group: A Survey

Author:   Gerald B. Folland
Publisher:   American Mathematical Society
ISBN:  

9781470479893


Pages:   233
Publication Date:   26 June 2025
Format:   Hardback
Availability:   Not yet available   Availability explained
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The Heisenberg Group: A Survey


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Overview

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.

Full Product Details

Author:   Gerald B. Folland
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
ISBN:  

9781470479893


ISBN 10:   1470479893
Pages:   233
Publication Date:   26 June 2025
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Forthcoming
Availability:   Not yet available   Availability explained
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release.

Table of Contents

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

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Gerald B. Folland, University of Washington, Seattle, WA

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