000			02892nam a22004815i 4500
001			978-1-4614-8526-1
003			DE-He213
005			20140220082832.0
007			cr nn 008mamaa
008			130924s2013 xxu| s |||| 0|eng d
020			_a9781461485261 _9978-1-4614-8526-1
024	7		_a10.1007/978-1-4614-8526-1 _2doi
050		4	_aQA403.5-404.5
072		7	_aPBKF _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515.2433 _223
100	1		_aD'Angelo, John P. _eauthor.
245	1	0	_aHermitian Analysis _h[electronic resource] : _bFrom Fourier Series to Cauchy-Riemann Geometry / _cby John P. D'Angelo.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Birkhäuser, _c2013.
300			_aX, 203 p. 27 illus., 19 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aCornerstones, _x2197-182X
505	0		_aPreface -- Introduction to Fourier series -- Hilbert spaces -- Fourier transform on R -- Geometric considerations -- Appendix -- References -- Index. .
520			_aHermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry provides a coherent, integrated look at various topics from analysis. It begins with Fourier series, continues with Hilbert spaces, discusses the Fourier transform on the real line, and then turns to the heart of the book: geometric considerations in several complex variables. The final chapter includes complex differential forms, geometric inequalities from one and several complex variables, finite unitary groups, proper mappings, and naturally leads to the Cauchy-Riemann geometry of the unit sphere. The book thus takes the reader from the unit circle to the unit sphere. This textbook will be a useful resource for upper-undergraduate students who intend to continue with mathematics, graduate students interested in analysis, and researchers interested in some basic aspects of CR Geometry. It will also be useful for students in physics and engineering, as it includes topics in harmonic analysis arising in these subjects. The inclusion of an appendix and more than 270 exercises makes this book suitable for a capstone undergraduate Honors class.
650		0	_aMathematics.
650		0	_aFourier analysis.
650		0	_aDifferential Equations.
650		0	_aGlobal differential geometry.
650	1	4	_aMathematics.
650	2	4	_aFourier Analysis.
650	2	4	_aDifferential Geometry.
650	2	4	_aOrdinary Differential Equations.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461485254
830		0	_aCornerstones, _x2197-182X
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-8526-1
912			_aZDB-2-SMA
999			_c96065 _d96065