The d-bar Neumann Problem and Schrödinger Operators

Friedrich Haslinger (Autor)

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XI, 241 Seiten | Ausstattung: Hardcover & eBook

2014
De Gruyter
9783110315363 (ISBN)

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The topic of this bookis located at the intersection of complex analysis, operator theory and partial differential equations. First we investigate the canonical solution operator to d-bar restricted to Bergman spaces of holomorphic L2 functions in one and several complex variables. These operators are Hankel operators of special type. In the following we consider the general d-bar-complex and derive properties of the complex Laplacian on L2 spaces of bounded pseudoconvex domains and on weighted L2 spaces.The main part is devoted to compactness of the d-bar-Neumann operator. The last part will contain a detailed account of the application of the d-bar-methods to Schrödinger operators, Pauli and Dirac operators and to Witten-Laplacians.

Friedrich Haslinger,University of Vienna, Austria.

Reihe/Serie	De Gruyter Expositions in Mathematics ; 59
Zusatzinfo	Includes a print version and an ebook
Verlagsort	Berlin
Sprache	englisch
Maße	170 x 240 mm
Themenwelt	Mathematik / Informatik ► Mathematik
Schlagworte	Compactness • d-bar Neumann Problem • d-bar Neumann Problem; Inhomogeneous Cauchy-Riemann Equation; Hankel Operator; Compactness; Schrödinger Operator; Witten Laplacian • Funktionentheorie • Hankel Operator • inhomogeneous Cauchy-Riemann equation • Neumannproblem • Schrödinger operator • Schrödingeroperator • Witten Laplacian
ISBN-13	9783110315363 / 9783110315363
Zustand	Neuware