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This book mainly discusses the representation theory of the special linear group 8L2 1R and some applications of this theory In fact the emphasis is on the applications the working title of the book while it was being writ ten was Some Things You Can Do with 8L2 Some of the applications are outside representation theory and some are to representation theory it self The topics outside representation theory are mostly ones of substantial classical importance Fourier analysis Laplace equation Huyghens prin ciple Ergodic theory while the ones inside representation theory mostly concern themes that have been central to HarishChandras development of harmonic analysis on semisimple groups his restriction theorem regularity theorem character formulas and asymptotic decay of matrix coefficients and temperedness We hope this mix of topics appeals to nonspecialists in representation theory by illustrating without an interminable prolegom ena how representation theory can offer new perspectives on familiar topics and by offering some insight into some important themes in representation theory itself Especially we hope this book popularizes HarishChandras restriction formula which besides being basic to his work is simply a beautiful example of Fourier analysis on Euclidean space We also hope representation theorists will enjoy seeing examples of how their subject can be used and will be stimulated by some of the viewpoints offered on representationtheoretic issues
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Find tips, reviews, and features on Non Abelian Harmonic Analysis Applications sold for 78.72 $ , available in the Books & Magazines category; this product belongs to and is sold by Abebooks.com.
This book mainly discusses the representation theory of the special linear group 8L2 1R and some applications of this theory In fact the emphasis is on the applications the working title of the book while it was being writ ten was Some Things You Can Do with 8L2 Some of the applications are outside representation theory and some are to representation theory it self The topics outside representation theory are mostly ones of substantial classical importance Fourier analysis Laplace equation Huyghens prin ciple Ergodic theory while the ones inside representation theory mostly concern themes that have been central to HarishChandras development of harmonic analysis on semisimple groups his restriction theorem regularity theorem character formulas and asymptotic decay of matrix coefficients and temperedness We hope this mix of topics appeals to nonspecialists in representation theory by illustrating without an interminable prolegom ena how representation theory can offer new perspectives on familiar topics and by offering some insight into some important themes in representation theory itself Especially we hope this book popularizes HarishChandras restriction formula which besides being basic to his work is simply a beautiful example of Fourier analysis on Euclidean space We also hope representation theorists will enjoy seeing examples of how their subject can be used and will be stimulated by some of the viewpoints offered on representationtheoretic issues
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