02596nam 22004218i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000290013305000210016210000290018324501530021226300090036526400610037430000340043533600260046933700280049533800270052349000740055050400510062450508350067550600500151053300950156053800360165558800470169165000240173865000210176265000280178365000290181165000220184065000270186277601930188985600440208285600480212620661671RPAM20180912141109.0m b 001 0 cr/|||||||||||180912s2018 riu ob 001 0 eng  a9781470447502 (online) aDLCbengerdacDLCdRPAM00aQA323b.H75 20181 aHsiao, Chin-Yu,eauthor.10aSzegèo kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds /h[electronic resource] cChin-Yu Hsiao. a1809 1aProvidence, RI :bAmerican Mathematical Society,c[2018] a1 online resource (pages cm.) atextbtxt2rdacontent aunmediatedbn2rdamedia avolumebnc2rdacarrier0 aMemoirs of the American Mathematical Society, x1947-6221 ; vv. 1217 aIncludes bibliographical references and index.00tChapter 1. Introduction and statement of the main resultstChapter 2. More properties of the phase $\varphi (x,y,s)$tChapter 3. PreliminariestChapter 4. Semi-classical $\Box ^(q)_b,k$ and the characteristic manifold for $\Box ^(q)_b,k$tChapter 5. The heat equation for the local operatot $\Box ^(q)_s$tChapter 6. Semi-classical Hodge decomposition theorems for $\Box ^(q)_s,k$ in some non-degenerate part of $\Sigma $tChapter 7. Szegèo kernel asymptotics for lower energy formstChapter 8. Almost Kodaira embedding Theorems on CR manifoldstChapter 9. Asymptotic expansion of the Szegèo kerneltChapter 10. Szegîo kernel asymptotics and Kodairan embedding theorems on CR manifolds with transversal CR $S^1$ actionstChapter 11. Szegîo kernel asymptotics on some non-compact CR manifoldstChapter 12. The proof of Theorem 5.281 aAccess is restricted to licensed institutions aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2018 aMode of access : World Wide Web aDescription based on print version record. 0aEmbedding theorems. 0aCR submanifolds. 0aManifolds (Mathematics) 0aEmbeddings (Mathematics) 0aKernel functions. 0aAsymptotic expansions.0 iPrint version: aHsiao, Chin-Yu,tSzegèo kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds /w(DLC) 2018043154x0065-9266z97814704410124 3Contentsuhttp://www.ams.org/memo/1217/4 3Contentsuhttps://doi.org/10.1090/memo/1217