Holomorphic Functions and Integral Representations in Several Complex Variables (Graduate Texts in Mathematics)

Range, R. Michael Michael

ISBN 10: 1441930787 / ISBN 13: 9781441930781

Editore: Springer, 2010

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Codice articolo I-9781441930781

Dati bibliografici

• Titolo: Holomorphic Functions and Integral Representations in Several Complex Variables (Graduate Texts in Mathematics)
• Editore: Springer
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 1441930787
• ISBN 13: 9781441930781
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

This is an introductory text in several complex variables, using methods of integral representations. It begins with elementary local results, discusses basic new concepts of the multi-dimensional theory such as pseudoconvexity and holomorphic convexity, and leads up to complete proofs of fundamental global results, both classical and new.

Contenuti

I Elementary Local Properties of Holomorphic Functions.- II Domains of Holomorphy and Pseudoconvexity.- III Differential Forms and Hermitian Geometry.- IV Integral Representations in ?n.- V The Levi Problem and the Solution of ?? on Strictly Pseudoconvex Domains.- VI Function Theory on Domains of Holomorphy in ?n.- VII Topics in Function Theory on Strictly Pseudoconvex Domains.- Appendix A.- Appendix B.- Appendix C.- Glossary of Symbols and Notations.