Authors:
A tutorial introduction is given to the necessary background material
Most of the results presented here are valid in the general context of solvable extensions of H-type groups
Part of the book series: Progress in Mathematics (PM, volume 217)
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Table of contents (3 chapters)
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Front Matter
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Back Matter
About this book
Reviews
"This nicely written book by Thangavelu is concerned with extensions of Hardy's theorem to settings that arise from noncommutative harmonic analysis.... Each chapter contains several applications to the heat equation in various settings and ends with an extensive presentation of related topics, current research, detailed references to the literature, and lists of open problems. This makes the book an invaluable resource for graduate students and researchers in harmonic analysis and applied mathematics."
—SIAM Review
"…Each chapter ends with useful notes and open problems. Everything is written in sufficient detail to benefit specialized interested readers…"
—MATHEMATICAL REVIEWS
"The authoer discusses inthe present book the original theorem of Hardy and some of its generaliztions and its connections to noncommunitave analysis, harmonic analysis and special functions. First Hardy's theorem for the Euclidian Fourier transform is treated, and a theorem of Beurling and Hömander Subsequently Hardy's theorem is dicussed for the Fourier transfom on the Heisenberg group. finally the author discusses generaliztions of Hardy's theorem involving the Helgason Fourier transform for rank one symmetric spaces and for H-type groups. This unique book will be of great value for readers interested in this branch of analysis."
---Monatshefte für Mathematik
Authors and Affiliations
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Statistics and Mathematics Division, Indian Statistical Institute, Bangalore, India
Sundaram Thangavelu
Bibliographic Information
Book Title: An Introduction to the Uncertainty Principle
Book Subtitle: Hardy’s Theorem on Lie Groups
Authors: Sundaram Thangavelu
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-0-8176-8164-7
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2004
Hardcover ISBN: 978-0-8176-4330-0Published: 09 October 2003
Softcover ISBN: 978-1-4612-6468-2Published: 12 October 2012
eBook ISBN: 978-0-8176-8164-7Published: 06 December 2012
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XIII, 174
Topics: Abstract Harmonic Analysis, Fourier Analysis, Functional Analysis, Several Complex Variables and Analytic Spaces