LEADER 03003nam 2200673Ia 450 001 9910785808803321 005 20230421054139.0 010 $a3-11-090009-2 024 7 $a10.1515/9783110900095 035 $a(CKB)2670000000255897 035 $a(EBL)934944 035 $a(OCoLC)843635167 035 $a(SSID)ssj0000559885 035 $a(PQKBManifestationID)11373998 035 $a(PQKBTitleCode)TC0000559885 035 $a(PQKBWorkID)10568300 035 $a(PQKB)10961853 035 $a(MiAaPQ)EBC934944 035 $a(DE-B1597)57152 035 $a(OCoLC)979764774 035 $a(DE-B1597)9783110900095 035 $a(Au-PeEL)EBL934944 035 $a(CaPaEBR)ebr10597629 035 $a(EXLCZ)992670000000255897 100 $a19950823d1994 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aIntegral geometry of tensor fields$b[electronic resource] /$fV.A. Sharafutdinov 205 $aReprint 2010 210 $aUtrecht, the Netherlands $cVSP$d1994 215 $a1 online resource (276 p.) 225 0 $aInverse and Ill-Posed Problems Series ;$v1 225 0$aInverse and ill-posed problems series 300 $aDescription based upon print version of record. 311 $a3-11-062951-8 311 $a90-6764-165-0 320 $aIncludes bibliographical references (p. 259-268) and index. 327 $t Frontmatter -- $t1 Introduction -- $t2 The ray transform of symmetric tensor fields on Euclidean space -- $t3 Some questions of tensor analysis -- $t4 The ray transform on a Riemannian manifold -- $t5 The transverse ray transform -- $t6 The truncated transverse ray transform -- $t7 The mixed ray transform -- $t8 The exponential ray transform -- $tBibliography -- $tIndex 330 $aIntegral geometry can be defined as determining some function or a more general quantity, which is defined on a manifold, given its integrals over submanifolds or a prescribed class. In this book, only integral geometry problems are considered for which the submanifolds are one-dimensional. The book deals with integral geometry of symmetric tensor fields. This section of integral geometry can be considered as the mathematical basis for tomography or anisotropic media whose interaction with sounding radiation depends essentially on the direction in which the latter propagates. The main mathemat 410 0$aInverse and Ill-Posed Problems Series 606 $aIntegral geometry 606 $aCalculus of tensors 606 $aGeometry, Differential 615 0$aIntegral geometry. 615 0$aCalculus of tensors. 615 0$aGeometry, Differential. 676 $a516.362 686 $aSK 370$2rvk 700 $aSharafutdinov$b V. A$g(Vladimir Al?tafovich)$01551006 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910785808803321 996 $aIntegral geometry of tensor fields$93810282 997 $aUNINA