000			02909nam a22003975i 4500
001			978-0-85729-030-4
003			DE-He213
005			20251006084442.0
007			cr nn 008mamaa
008			100917s2011 xxk| s |||| 0|eng d
020			_a9780857290304
020			_a99780857290304
024	7		_a10.1007/978-0-85729-030-4 _2doi
082	0	4	_a515.94 _223
100	1		_aLaurent-Thiébaut, Christine. _eauthor.
245	1	0	_aHolomorphic Function Theory in Several Variables _h[electronic resource] : _bAn Introduction / _cby Christine Laurent-Thiébaut.
264		1	_aLondon : _bSpringer London, _c2011.
300			_aXIII, 252p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
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.
650		0	_aMATHEMATICS.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650	1	4	_aMATHEMATICS.
650	2	4	_aSEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780857290298
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-85729-030-4 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59922 _d59922