Sundaram Thangavelu

eBook, PDF

An Introduction to the Uncertainty Principle (eBook, PDF)

Hardy's Theorem on Lie Groups

Beschreibung

The central theme of this work is the development of a number of analogs of Hardy's theorem in settings arising from noncommutative harmonic analysis. A tutorial introduction gives the requisite background material. The techniques used to prove the main results run the gamut of modern harmonic analysis such as representation theory, spherical functions, Hecke--Bochner formulas and special functions. Graduate students and researchers in harmonic analysis will greatly benefit from this book.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 12.41MB

Barrierefreiheit

• Text-to-Speech

Autor

The central theme of this work is the development of a number of analogs of Hardy's theorem in settings arising from noncommutative harmonic analysis. A tutorial introduction gives the requisite background material. The techniques used to prove the main results run the gamut of modern harmonic analysis such as representation theory, spherical functions, Hecke--Bochner formulas and special functions. Graduate students and researchers in harmonic analysis will greatly benefit from this book.

Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 174
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9780817681647
• Artikelnr.: 44194103

Rezensionen

"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