LEADER 02565nam 2200553 450 001 9910793167203321 005 20211029210658.0 010 $a1-4704-4750-9 035 $a(CKB)4100000006516240 035 $a(MiAaPQ)EBC5501873 035 $a(RPAM)20661671 035 $a(PPN)230400035 035 $a(EXLCZ)994100000006516240 100 $a20180919d2018 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSzego? kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds /$fChin-Yu Hsiao 210 1$aProvidence, RI :$cAmerican Mathematical Society,$d[2018] 210 4$dİ2018 215 $a1 online resource (154 pages) 225 1 $aMemoirs of the American Mathematical Society ;$vNumber 1217 311 $a1-4704-4101-2 320 $aIncludes bibliographical references and index. 327 $a1. Introduction and statement of the main results -- 2. More properties of the phase [capital letter Pi](x, y, s) -- 3. Preliminaries -- 4. Semi-classical [box](q)b,k and the characteristic manifold for [box](q)b,k -- 5. The heat equation for the local operatot [box](q)s -- 6. Semi-classical Hodge decomposition theorems for [box](q)s,k in some non-degenerate part of E -- 7. Szegi?o kernel asymptotic for lower energy forms -- 8. Almost Kodaira embedding Theorems on CR manifolds -- 9. Asymptotic expension of the Szegi?o kernel -- 10. Szegi?o kernel asymptotics and Kodairan embedding theorems on CR manifolds with transversal CR, S1 actions -- 11. Szegi?o kernel asymptotics on some non-compact CR manifolds -- 12. The proof of Theorem 5.28. 410 0$aMemoirs of the American Mathematical Society ;$vNumber 1217. 606 $aEmbedding theorems 606 $aCR submanifolds 606 $aManifolds (Mathematics) 606 $aEmbeddings (Mathematics) 606 $aKernel functions 606 $aAsymptotic expansions 615 0$aEmbedding theorems. 615 0$aCR submanifolds. 615 0$aManifolds (Mathematics) 615 0$aEmbeddings (Mathematics) 615 0$aKernel functions. 615 0$aAsymptotic expansions. 676 $a516.3/6 700 $aHsiao$b Chin-Yu$01482594 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910793167203321 996 $aSzego? kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds$93700317 997 $aUNINA