An Introduction to the Uncertainty Principle: Hardy's Theorem on Lie Groups - Progress in Mathematics 217 (Paperback)Sundaram Thangavelu (author)
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Publisher: Springer-Verlag New York Inc.
Number of pages: 174
Weight: 308 g
Dimensions: 235 x 155 x 10 mm
Edition: Softcover reprint of the original 1st ed. 200
"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."
"...Each chapter ends with useful notes and open problems. Everything is written in sufficient detail to benefit specialized interested readers..."
"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 Hoemander 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 fur Mathematik
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