The Heisenberg Group

A Survey

Gerald B. Folland (Autor)

Buch | Hardcover

233 Seiten

2025
American Mathematical Society (Verlag)
978-1-4704-7989-3 (ISBN)

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Explore the multifaceted influence of the Heisenberg group on group representation theory, mathematical physics, complex analysis, partial differential equations, and differential geometry. This engaging overview interlaces essential concepts with modern research highlights, inviting deeper insight into its far-reaching mathematical impact.

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.

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

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

Erscheinungsdatum	02.07.2025
Reihe/Serie	Colloquium Publications
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	1-4704-7989-3 / 1470479893
ISBN-13	978-1-4704-7989-3 / 9781470479893
Zustand	Neuware