03596nam 2200649 450 991045969490332120210625002258.03-11-037783-73-11-031535-110.1515/9783110315356(CKB)3710000000229279(EBL)1663181(SSID)ssj0001332710(PQKBManifestationID)11876733(PQKBTitleCode)TC0001332710(PQKBWorkID)11377093(PQKB)11317521(MiAaPQ)EBC1663181(DE-B1597)209206(OCoLC)890071094(OCoLC)900717313(DE-B1597)9783110315356(Au-PeEL)EBL1663181(CaPaEBR)ebr11010157(CaONFJC)MIL805176(EXLCZ)99371000000022927920150211h20142014 uy 0engurnn#---|u||utxtccrThe D-bar Neumann problem and Schrödinger operators /Friedrich HaslingerBerlin, [Germany] ;Boston, [Massachusetts] :De Gruyter,2014.©20141 online resource (254 p.)De Gruyter Expositions in Mathematics,0938-6572 ;Volume 59Description based upon print version of record.3-11-031530-0 Includes bibliographical references and index.Front matter --Preface --Contents --1. Bergman spaces --2. The canonical solution operator to --3. Spectral properties of the canonical solution operator to --4. The complex --5. Density of smooth forms --6. The weighted complex --7. The twisted complex --8. Applications --9. Spectral analysis --10. Schrödinger operators and Witten-Laplacians --11. Compactness --12. The Neumann operator and the Bergman projection --13. Compact resolvents --14. Spectrum of on the Fock space --15. Obstructions to compactness --Bibliography --Index --BackmatterThe topic of this book is located at the intersection of complex analysis, operator theory and partial differential equations. It begins with results on the canonical solution operator to restricted to Bergman spaces of holomorphic d-bar functions in one and several complex variables. These operators are Hankel operators of special type. In the following the general complex is investigated on d-bar spaces over bounded pseudoconvex domains and on weighted d-bar spaces. The main part is devoted to the spectral analysis of the complex Laplacian and to compactness of the Neumann operator. The last part contains a detailed account of the application of the methods to Schrödinger operators, Pauli and Dirac operators and to Witten-Laplacians. It is assumed that the reader has a basic knowledge of complex analysis, functional analysis and topology. With minimal prerequisites required, this book provides a systematic introduction to an active area of research for both students at a bachelor level and mathematicians.De Gruyter expositions in mathematics ;Volume 59.Neumann problemSchrödinger operatorElectronic books.Neumann problem.Schrödinger operator.515/.9Haslinger Friedrich1037454MiAaPQMiAaPQMiAaPQBOOK9910459694903321The D-bar Neumann problem and Schrödinger operators2485915UNINA00967nam a22002531i 450099100028427970753620020929091905.0020929s1986 it |||||||||||||||||ita b11984144-39ule_instARCHE-007394ExLDip.to Filologia Ling. e Lett.itaA.t.i. Arché s.c.r.l. Pandora Sicilia s.r.l.853.8D'Antuono, Nicola133937Amore e morte in Senilità e altro su Svevo /Nicola D' AntuonoSalerno :P. Laveglia,1986149 p. ;22 cmMappe/letteratura ;1Svevo, ItaloSenilità.b1198414428-04-1701-04-03991000284279707536LE008 LLI.S H III 3412008000427375le008-E0.00-l- 01010.i1226619x01-04-03Amore e morte in Senilità e altro su Svevo132104UNISALENTOle00801-04-03ma -itait 01