000			02853nam a22003858i 4500
001			CR9780511814525
003			UkCbUP
005			20200124160219.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			101021s2009||||enk o ||1 0|eng|d
020			_a9780511814525 (ebook)
020			_z9780521517683 (hardback)
020			_z9780521732017 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA331 _b.M4175 2009
082	0	0	_a515.94 _222
100	1		_aMashreghi, Javad, _eauthor.
245	1	0	_aRepresentation theorems in Hardy spaces / _cJavad Mashreghi.
264		1	_aCambridge : _bCambridge University Press, _c2009.
300			_a1 online resource (xii, 372 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society student texts ; _v74
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aFourier series -- Abel-Poisson means -- Harmonic functions in the unit disc -- Logarithmic convexity -- Analytic functions in the unit disc -- Norm inequalities for the conjugate function -- Blaschke products and their applications -- Interpolating linear operators -- The Fourier transform -- Poisson integrals -- Harmonic functions in the upper half plane -- The Plancherel transform -- Analytic functions in the upper half plane -- The Hilbert transform on R -- Topics from real analysis -- A panoramic view of the representation theorems.
520			_aThe theory of Hardy spaces has close connections to many branches of mathematics including Fourier analysis, harmonic analysis, singular integrals, potential theory and operator theory, and has found essential applications in robust control engineering. For each application, the ability to represent elements of these classes by series or integral formulas is of utmost importance. This self-contained text provides an introduction to a wide range of representation theorems and provides a complete description of the representation theorems with direct proofs for both classes of Hardy spaces: Hardy spaces of the open unit disc and Hardy spaces of the upper half plane. With over 300 exercises, many with accompanying hints, this book is ideal for those studying Advanced Complex Analysis, Function Theory or Theory of Hardy Spaces. Advanced undergraduate and graduate students will find the book easy to follow, with a logical progression from basic theory to advanced research.
650		0	_aHardy spaces.
650		0	_aAnalytic functions.
710	2		_aLondon Mathematical Society, _eissuing body.
776	0	8	_iPrint version: _z9780521517683
830		0	_aLondon Mathematical Society student texts ; _v74.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511814525
999			_c516565 _d516563