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020 _a9780857290304
_99780857290304
024 7 _a10.1007/9780857290304
_2doi
035 _avtls000333781
039 9 _a201509030218
_bVLOAD
_c201404130532
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040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA331.7
100 1 _aLaurent-Thiébaut, Christine.
_eautor
_9306210
245 1 0 _aHolomorphic Function Theory in Several Variables :
_bAn Introduction /
_cby Christine Laurent-Thiébaut.
264 1 _aLondon :
_bSpringer London,
_c2011.
300 _axiii, 252 páginas
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
500 _aSpringer eBooks
505 0 _aElementary local properties of holomorphic functions of several complex variables -- Currents and complex structures -- The Bochner-Martinelli-Koppelman kernel and formula applications -- Extensions of CR functions -- Extensions of holomorphic and CR functions on manifolds -- Domains of holomorphy and pseudoconvexity -- The Levi problem and the resolution of ? in strictly pseudoconvex domains -- Characterisation of removable singularities of CR functions on a strictly pseudoconvex boundary -- Appendices.
520 _aThis book provides an introduction to complex analysis in several variables. The viewpoint of integral representation theory together with Grauert's bumping method offers a natural extension of single variable techniques to several variables analysis and leads rapidly to important global results. Applications focus on global extension problems for CR functions, such as the Hartogs-Bochner phenomenon and removable singularities for CR functions. Three appendices on differential manifolds, sheaf theory and functional analysis make the book self-contained. Each chapter begins with a detailed abstract, clearly demonstrating the structure and relations of following chapters. New concepts are clearly defined and theorems and propositions are proved in detail. Historical notes are also provided at the end of each chapter. Clear and succinct, this book will appeal to post-graduate students, young researchers seeking an introduction to holomorphic function theory in several variables and lecturers seeking a concise book on the subject.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9780857290298
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-85729-030-4
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c280933
_d280933