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024 7 $a10.1007/978-1-4614-8526-1
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035   $a(MiAaPQ)EBC1466235
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100   $a20130924d2013      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aHermitian Analysis $eFrom Fourier Series to Cauchy-Riemann Geometry /$fby John P. D'Angelo
205   $a1st ed. 2013.
210  1$aNew York, NY :$cSpringer New York :$cImprint: Birkhäuser,$d2013.
215   $a1 online resource (211 p.)
225 1 $aCornerstones,$x2197-1838
300   $aDescription based upon print version of record.
311 08$a1-4614-8525-8 
320   $aIncludes bibliographical references and index.
327   $aPreface -- Introduction to Fourier series -- Hilbert spaces -- Fourier transform on R -- Geometric considerations -- Appendix -- References -- Index. .
330   $aHermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry provides a coherent, integrated look at various topics from analysis. It begins with Fourier series, continues with Hilbert spaces, discusses the Fourier transform on the real line, and then turns to the heart of the book: geometric considerations in several complex variables. The final chapter includes complex differential forms, geometric inequalities from one and several complex variables, finite unitary groups, proper mappings, and naturally leads to the Cauchy-Riemann geometry of the unit sphere. The book thus takes the reader from the unit circle to the unit sphere. This textbook will be a useful resource for upper-undergraduate students who intend to continue with mathematics, graduate students interested in analysis, and researchers interested in some basic aspects of CR Geometry. It will also be useful for students in physics and engineering, as it includes topics in harmonic analysis arising in these subjects. The inclusion of an appendix and more than 270 exercises makes this book suitable for a capstone undergraduate Honors class.
410  0$aCornerstones,$x2197-1838
606   $aFourier analysis
606   $aGeometry, Differential
606   $aDifferential equations
606   $aFourier Analysis
606   $aDifferential Geometry
606   $aDifferential Equations
615  0$aFourier analysis.
615  0$aGeometry, Differential.
615  0$aDifferential equations.
615 14$aFourier Analysis.
615 24$aDifferential Geometry.
615 24$aDifferential Equations.
676   $a515.2433
700   $aD'Angelo$b John P$4aut$4http://id.loc.gov/vocabulary/relators/aut$060384
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910438027503321
996   $aHermitian Analysis$91732494
997   $aUNINA