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OverviewOver 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 DetailsAuthor: Gerald B. FollandPublisher: American Mathematical Society Imprint: American Mathematical Society ISBN: 9781470479893ISBN 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 ![]() 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 ContentsChapters 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 geometryReviewsAuthor InformationGerald B. Folland, University of Washington, Seattle, WA Tab Content 6Author Website:Countries AvailableAll regions |