東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Harmonic and complex analysis in sev...

Krantz, Steven G.

FindBook

Google Book

Amazon

博客來

Harmonic and complex analysis in several variables

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Harmonic and complex analysis in several variables/ by Steven G. Krantz.
作者:	Krantz, Steven G.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xii, 424 p. :ill., digital ;24 cm.
內容註:	Preface -- 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.
Contained By:	Springer eBooks
標題:	Harmonic analysis. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-63231-5
ISBN:	9783319632315

Harmonic and complex analysis in several variables
Krantz, Steven G.

Harmonic and complex analysis in several variables[electronic resource] /by Steven G. Krantz. - Cham :Springer International Publishing :2017. - xii, 424 p. :ill., digital ;24 cm. - Springer monographs in mathematics,1439-7382. - Springer monographs in mathematics..

Preface -- 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.

Authored by a ranking authority in harmonic analysis of several complex variables, this book embodies a state-of-the-art entree 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.

ISBN: 9783319632315

Standard No.: 10.1007/978-3-319-63231-5doiSubjects--Topical Terms:

555704
Harmonic analysis.

LC Class. No.: QA403 / .K73 2017

Dewey Class. No.: 515.2433

Harmonic and complex analysis in several variables
LDR:02523nmm a2200325 a 4500 001 2109113
003 DE-He213
005 20180328105711.0
006 m d
007 cr nn 008maaau
008 180519s2017 gw s 0 eng d
020 $a 9783319632315 $q (electronic bk.)
020 $a 9783319632292 $q (paper)
024 7 $a 10.1007/978-3-319-63231-5 $2 doi
035 $a 978-3-319-63231-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA403 $b .K73 2017
072 7 $a PBKD $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 515.2433 $2 23
090 $a QA403 $b .K89 2017
100 1 $a Krantz, Steven G. $3 636467
245 1 0 $a Harmonic and complex analysis in several variables $h [electronic resource] / $c by Steven G. Krantz.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xii, 424 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer monographs in mathematics, $x 1439-7382
505 0 $a Preface -- 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.
520 $a Authored by a ranking authority in harmonic analysis of several complex variables, this book embodies a state-of-the-art entree 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.
650 0 $a Harmonic analysis. $3 555704
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Abstract Harmonic Analysis. $3 891093
650 2 4 $a Functions of a Complex Variable. $3 897310
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Springer monographs in mathematics. $3 1535313
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-63231-5
950 $a Mathematics and Statistics (Springer-11649)