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LEADER: 02473cam a22003494a 4500
001 6973973
005 20221130195840.0
008 080609t20082008riua b 001 0 eng
010 $a 2008025621
020 $a9780821845301 (alk. paper)
020 $a0821845306 (alk. paper)
035 $a(OCoLC)ocn213844791
035 $a(OCoLC)213844791
035 $a(NNC)6973973
035 $a6973973
040 $aDLC$cDLC$dBTCTA$dBAKER$dOCLCG$dC#P$dBWX$dYDXCP$dOrLoB-B
050 00 $aQA649$b.H43 2008
082 00 $a516.3/62$222
100 1 $aHelgason, Sigurdur,$d1927-$0http://id.loc.gov/authorities/names/n80045054
245 10 $aGeometric analysis on symmetric spaces /$cSigurdur Helgason.
250 $a2nd ed.
260 $aProvidence, R.I. :$bAmerican Mathematical Society,$c[2008], ©2008.
300 $axvii, 637 pages :$billustrations ;$c26 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aMathematical surveys and monographs,$x0076-5376 ;$vv. 39
504 $aIncludes bibliographical references (p. 599-625) and index.
505 00 $gCh. I.$tA Duality in Integral Geometry -- $gCh. II.$tA Duality for Symmetric Spaces -- $gCh. III.$tThe Fourier Transform on a Symmetric Space -- $gCh. IV.$tThe Radon Transform on X and on X[subscript o] Range Questions -- $gCh. V.$tDifferential Equations on Symmetric Spaces -- $gCh. VI.$tEigenspace Representations.
520 1 $a"This book gives the first systematic exposition of geometric analysis on Riemannian symmetric spaces and its relationship to the representation theory of Lie groups. The book starts with modern integral geometry for double fibrations and treats several examples in detail. After discussing the theory of Radon transforms and Fourier transforms on symmetric spaces, inversion formulas, and range theorems, Helgason examines applications to invariant differential equations on symmetric spaces, existence theorems, and explicit solution formulas, particularly potential theory and wave equations. The canonical multitemporal wave equation on a symmetric space is included. The book concludes with a chapter on eigenspace representations - that is, representations on solution spaces of invariant differential equations."--BOOK JACKET.
650 0 $aSymmetric spaces.$0http://id.loc.gov/authorities/subjects/sh85131437
830 0 $aMathematical surveys and monographs ;$vno. 39.$0http://id.loc.gov/authorities/names/n83732928
852 00 $bmat$hQA649$i.H43 2008