LEADER 03082nam 22005175 450 001 9910300244803321 005 20221020225512.0 010 $a3-319-21659-7 024 7 $a10.1007/978-3-319-21659-1 035 $a(CKB)3710000000474279 035 $a(EBL)4178418 035 $a(SSID)ssj0001585345 035 $a(PQKBManifestationID)16263023 035 $a(PQKBTitleCode)TC0001585345 035 $a(PQKBWorkID)14865556 035 $a(PQKB)11410302 035 $a(DE-He213)978-3-319-21659-1 035 $a(MiAaPQ)EBC4178418 035 $a(PPN)190519320 035 $a(EXLCZ)993710000000474279 100 $a20150909d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMultidimensional integral representations$b[electronic resource] $eproblems of analytic continuation /$fby Alexander M. Kytmanov, Simona G. Myslivets 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (236 p.) 300 $aDescription based upon print version of record. 311 $a3-319-21658-9 320 $aIncludes bibliographical references and index. 327 $aPreface. 1 Multidimensional Integral Representations -- 2 Properties of the Bochner-Martinelli Integral and the Logarithmic Residue Formula -- 3 On the Multidimensional Boundary Analogue of the Morera Theorem -- 4 Functions with the One-dimensional Holomorphic Extension Property -- References -- Index. 330 $aThe monograph is devoted to integral representations for holomorphic functions in several complex variables, such as Bochner-Martinelli, Cauchy-Fantappič, Koppelman, multidimensional logarithmic residue etc., and their boundary properties. The applications considered are problems of analytic continuation of functions from the boundary of a bounded domain in C^n. In contrast to the well-known Hartogs-Bochner theorem, this book investigates functions with the one-dimensional property of holomorphic extension along complex lines, and includes the problems of receiving multidimensional boundary analogs of the Morera theorem. This book is a valuable resource for specialists in complex analysis, theoretical physics, as well as graduate and postgraduate students with an understanding of standard university courses in complex, real and functional analysis, as well as algebra and geometry. 606 $aFunctions of complex variables 606 $aSeveral Complex Variables and Analytic Spaces$3https://scigraph.springernature.com/ontologies/product-market-codes/M12198 615 0$aFunctions of complex variables. 615 14$aSeveral Complex Variables and Analytic Spaces. 676 $a510 700 $aKytmanov$b Alexander M$4aut$4http://id.loc.gov/vocabulary/relators/aut$0534792 702 $aMyslivets$b Simona G$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910300244803321 996 $aMultidimensional Integral Representations$92545883 997 $aUNINA