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100   $a20150211h20142014  uy             0
101 0 $aeng
135   $aurnn#---|u||u
181   $ctxt
182   $cc
183   $acr
200 14$aThe D-bar Neumann problem and Schro?dinger operators /$fFriedrich Haslinger
210  1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2014.
210  4$d©2014
215   $a1 online resource (254 p.)
225 1 $aDe Gruyter Expositions in Mathematics,$x0938-6572 ;$vVolume 59
300   $aDescription based upon print version of record.
311 0 $a3-11-031530-0 
320   $aIncludes bibliographical references and index.
327   $tFront matter --$tPreface --$tContents --$t1. Bergman spaces --$t2. The canonical solution operator to --$t3. Spectral properties of the canonical solution operator to  --$t4. The complex --$t5. Density of smooth forms --$t6. The weighted complex --$t7. The twisted complex --$t8. Applications --$t9. Spectral analysis --$t10. Schrödinger operators and Witten-Laplacians --$t11. Compactness --$t12. The Neumann operator and the Bergman projection --$t13. Compact resolvents --$t14. Spectrum of on the Fock space --$t15. Obstructions to compactness --$tBibliography --$tIndex --$tBackmatter
330   $aThe topic of this book is located at the intersection of complex analysis, operator theory and partial differential equations. It begins with results on the canonical solution operator to  restricted to Bergman spaces of holomorphic d-bar functions in one and several complex variables. These operators are Hankel operators of special type. In the following the general  complex is investigated on d-bar spaces over bounded pseudoconvex domains and on weighted d-bar spaces. The main part is devoted to the spectral analysis of the complex Laplacian and to compactness of the  Neumann operator. The last part contains a detailed account of the application of the  methods to Schrödinger operators, Pauli and Dirac operators and to Witten-Laplacians. It is assumed that the reader has a basic knowledge of complex analysis, functional analysis  and topology. With minimal prerequisites required, this book provides a systematic introduction to an active area of research for both students at a bachelor level and mathematicians.
410  0$aDe Gruyter expositions in mathematics ;$vVolume 59.
606   $aNeumann problem
606   $aSchro?dinger operator
610   $aCompactness.
610   $aHankel Operator.
610   $aInhomogeneous Cauchy-Riemann Equation.
610   $aSchrödinger Operator.
610   $aWitten Laplacian.
610   $ad-bar Neumann Problem.
615  0$aNeumann problem.
615  0$aSchro?dinger operator.
676   $a515/.9
686   $aSK 620$qSEPA$2rvk
700   $aHaslinger$b Friedrich$01141604
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910827525903321
996   $aThe D-bar Neumann problem and Schro?dinger operators$94120115
997   $aUNINA