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010   $a3-319-63231-0
024 7 $a10.1007/978-3-319-63231-5
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035   $a(DE-He213)978-3-319-63231-5
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035   $a(PPN)204534127
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100   $a20170920d2017      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aHarmonic and Complex Analysis in Several Variables /$fby Steven G. Krantz
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (XII, 424 p. 83 illus., 66 illus. in color.) 
225 1 $aSpringer Monographs in Mathematics,$x1439-7382
311   $a3-319-63229-9 
320   $aIncludes bibliographical references and index.
327   $aPreface -- 1. Introduction and Review -- 2. Boundary Behavior -- 3. The Heisenberg Group -- 4. Analysis on the Heisenberg Group -- 5. Reproducing Kernels -- 6. More on the Kernels -- 7. The Bergman Metric -- 8. Geometric and Analytic Ideas -- 9. Additional Analytic Topics -- 10. Cauchy-Riemann Equations Solution -- 11. A Few Miscellaneous Topics -- Bibliography -- Index.
330   $aAuthored by a ranking authority in harmonic analysis of several complex variables, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: complex analysis and harmonic analysis. Written with the graduate student in mind, it is assumed that the reader has familiarity with the basics of complex analysis of one and several complex variables as well as with real and functional analysis. The monograph is largely self-contained and develops the harmonic analysis of several complex variables from the first principles. The text includes copious examples, explanations, an exhaustive bibliography for further reading, and figures that illustrate the geometric nature of the subject. Each chapter ends with an exercise set. Additionally, each chapter begins with a prologue, introducing the reader to the subject matter that follows; capsules presented in each section give perspective and a spirited launch to the segment; preludes help put ideas into context. Mathematicians and researchers in several applied disciplines will find the breadth and depth of the treatment of the subject highly useful.
410  0$aSpringer Monographs in Mathematics,$x1439-7382
606   $aHarmonic analysis
606   $aFunctions of complex variables
606   $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015
606   $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074
615  0$aHarmonic analysis.
615  0$aFunctions of complex variables.
615 14$aAbstract Harmonic Analysis.
615 24$aFunctions of a Complex Variable.
676   $a515.785
700   $aKrantz$b Steven G$4aut$4http://id.loc.gov/vocabulary/relators/aut$055961
906   $aBOOK
912   $a9910254302903321
996   $aHarmonic and Complex Analysis in Several Variables$91562466
997   $aUNINA