Record ID | harvard_bibliographic_metadata/ab.bib.12.20150123.full.mrc:507687061:1906 |
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LEADER: 01906cam a2200361Ia 4500
001 012645609-7
005 20140910154253.0
008 101128s2011 nyua b 001 0 eng d
010 $a 2010938299
020 $a9781441960542
020 $a1441960546
035 0 $aocn687635359
040 $aBTCTA$beng$cBTCTA$dYDXCP$dCDX$dEMU
050 4 $aQA672$b.H45 2011
082 04 $a516.362$222
100 1 $aHelgason, Sigurður.
245 10 $aIntegral geometry and radon transforms /$cSigurdur Helgason.
260 $aNew York :$bSpringer,$cc2011.
300 $axiii, 301 p. :$bill. ;$c24 cm.
504 $aIncludes bibliographical references (p. [275]-294) and index.
505 0 $aPreface -- The radon transfrom on Rn -- A Duality in integral geometry -- The radon transform on two-point homogeneous spaces -- The x-ray transform on a symmetric space -- Orbital integrals and the wave operator for isotropic lorentz spaces -- The mean-value operator -- Fourier transforms and distributions. A Rapid course -- Lie transformation groups and differential operators -- Symmetric spaces -- ERRATUM -- Bibliography -- Notational conventions -- Frequently used symbols -- Index.
520 $a"In this text, integral geometry deals with Radon's problem of representing a function on a manifold in terms of its integrals over certain submanifolds- hence the term the Radon transform...While containing some recent research, the book is aimed at beginning graduate students for classroom use or self-study. A number of exercises point to further results with documentation." -- Back cover.
650 0 $aIntegral geometry.
650 0 $aRadon transforms.
650 0 $aGlobal analysis.
650 0 $aGlobal differential geometry.
650 0 $aIntegral Transforms.
650 0 $aMathematics.
650 0 $aTopological Groups.
899 $a415_565004
988 $a20101222
049 $aCLSL
906 $0OCLC