000			03377nam a22005295i 4500
001			978-0-8176-4669-1
003			DE-He213
005			20251006084438.0
007			cr nn 008mamaa
008			100301s2009 xxu| s |||| 0|eng d
020			_a9780817646691
020			_a99780817646691
024	7		_a10.1007/978-0-8176-4669-1 _2doi
082	0	4	_a515.785 _223
100	1		_aKrantz, Steven G. _eauthor.
245	1	0	_aExplorations in Harmonic Analysis _h[electronic resource] : _bwith Applications to Complex Function Theory and the Heisenberg Group / _cby Steven G. Krantz.
250			_a1.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2009.
300			_bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aApplied and Numerical Harmonic Analysis
505	0		_aOntology and History of Real Analysis -- The Central Idea: The Hilbert Transform -- Essentials of the Fourier Transform -- Fractional and Singular Integrals -- A Crash Course in Several Complex Variables -- Pseudoconvexity and Domains of Holomorphy -- Canonical Complex Integral Operators -- Hardy Spaces Old and New -- to the Heisenberg Group -- Analysis on the Heisenberg Group -- A Coda on Domains of Finite Type.
520			_aThis self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier series) to the Fourier transform, pseudodifferential operators, and finally to Heisenberg analysis. Within the textbook, the new ideas on the Heisenberg group are applied to the study of estimates for both the Szegö and Poisson-Szegö integrals on the unit ball in complex space. Thus the main theme of the book is also tied into complex analysis of several variables. With a rigorous but well-paced exposition, this text provides all the necessary background in singular and fractional integrals, as well as Hardy spaces and the function theory of several complex variables, needed to understand Heisenberg analysis. Explorations in Harmonic Analysis is ideal for graduate students in mathematics, physics, and engineering. Prerequisites include a fundamental background in real and complex analysis and some exposure to functional analysis.
650		0	_aMATHEMATICS.
650		0	_aGROUP THEORY.
650		0	_aHARMONIC ANALYSIS.
650		0	_aFOURIER ANALYSIS.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650	1	4	_aMATHEMATICS.
650	2	4	_aABSTRACT HARMONIC ANALYSIS.
650	2	4	_aAPPROXIMATIONS AND EXPANSIONS.
650	2	4	_aSEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES.
650	2	4	_aFOURIER ANALYSIS.
650	2	4	_aGROUP THEORY AND GENERALIZATIONS.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817646684
830		0	_aApplied and Numerical Harmonic Analysis
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4669-1 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59751 _d59751