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

Geometric harmonic analysis.. III,. ...

Mitrea, Dorina.

FindBook

Google Book

Amazon

博客來

Geometric harmonic analysis.. III,. Integral representations, Calderon-Zygmund theory, Fatou theorems, and applications to scattering

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Geometric harmonic analysis./ by Dorina Mitrea, Irina Mitrea, Marius Mitrea.
其他題名:	Integral representations, Calderon-Zygmund theory, Fatou theorems, and applications to scattering
作者:	Mitrea, Dorina.
其他作者:	Mitrea, Irina.
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	1 online resource (xvii, 972 p.) :ill., digital ;24 cm.
內容註:	Introduction and Statement of Main Results Concerning the Divergence Theorem -- Examples, Counterexamples, and Additional Perspectives -- Tools from Geometric Measure Theory, Harmonic Analysis, and functional Analysis -- Open Sets with Locally Finite Surface Measures and Boundary Behavior -- Proofs of the Main Results Pertaining to the Divergence Theorem -- Applications to Singular Integrals, Function Spaces, Boundary Problems, and Further Results.
Contained By:	Springer Nature eBook
標題:	Divergence theorem. -
電子資源:	https://doi.org/10.1007/978-3-031-22735-6
ISBN:	9783031227356

Geometric harmonic analysis.. III,. Integral representations, Calderon-Zygmund theory, Fatou theorems, and applications to scattering
Mitrea, Dorina.

Geometric harmonic analysis.III,Integral representations, Calderon-Zygmund theory, Fatou theorems, and applications to scattering[electronic resource] /Integral representations, Calderon-Zygmund theory, Fatou theorems, and applications to scatteringby Dorina Mitrea, Irina Mitrea, Marius Mitrea. - Cham :Springer International Publishing :2023. - 1 online resource (xvii, 972 p.) :ill., digital ;24 cm. - Developments in mathematics,v. 7742197-795X ;. - Developments in mathematics ;v. 774..

Introduction and Statement of Main Results Concerning the Divergence Theorem -- Examples, Counterexamples, and Additional Perspectives -- Tools from Geometric Measure Theory, Harmonic Analysis, and functional Analysis -- Open Sets with Locally Finite Surface Measures and Boundary Behavior -- Proofs of the Main Results Pertaining to the Divergence Theorem -- Applications to Singular Integrals, Function Spaces, Boundary Problems, and Further Results.

This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations. Volume III is concerned with integral representation formulas for nullsolutions of elliptic PDEs, Calderón-Zygmund theory for singular integral operators, Fatou type theorems for systems of elliptic PDEs, and applications to acoustic and electromagnetic scattering. Overall, this amounts to a powerful and nuanced theory developed on uniformly rectifiable sets, which builds on the work of many predecessors.

ISBN: 9783031227356

Standard No.: 10.1007/978-3-031-22735-6doiSubjects--Topical Terms:

2012535
Divergence theorem.

LC Class. No.: QA433

Dewey Class. No.: 515.4

Geometric harmonic analysis.. III,. Integral representations, Calderon-Zygmund theory, Fatou theorems, and applications to scattering
LDR:02738nmm a2200349 a 4500 001 2318971
003 DE-He213
005 20230512112630.0
006 m d
007 cr nn 008maaau
008 230902s2023 sz s 0 eng d
020 $a 9783031227356 $q (electronic bk.)
020 $a 9783031227349 $q (paper)
024 7 $a 10.1007/978-3-031-22735-6 $2 doi
035 $a 978-3-031-22735-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA433
072 7 $a PBKL $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKL $2 thema
082 0 4 $a 515.4 $2 23
090 $a QA433 $b .M684 2023
100 1 $a Mitrea, Dorina. $3 3609206
245 1 0 $a Geometric harmonic analysis. $n III, $p Integral representations, Calderon-Zygmund theory, Fatou theorems, and applications to scattering $h [electronic resource] / $c by Dorina Mitrea, Irina Mitrea, Marius Mitrea.
246 3 0 $a Integral representations, Calderon-Zygmund theory, Fatou theorems, and applications to scattering
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2023.
300 $a 1 online resource (xvii, 972 p.) : $b ill., digital ; $c 24 cm.
490 1 $a Developments in mathematics, $x 2197-795X ; $v v. 774
505 0 $a Introduction and Statement of Main Results Concerning the Divergence Theorem -- Examples, Counterexamples, and Additional Perspectives -- Tools from Geometric Measure Theory, Harmonic Analysis, and functional Analysis -- Open Sets with Locally Finite Surface Measures and Boundary Behavior -- Proofs of the Main Results Pertaining to the Divergence Theorem -- Applications to Singular Integrals, Function Spaces, Boundary Problems, and Further Results.
520 $a This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations. Volume III is concerned with integral representation formulas for nullsolutions of elliptic PDEs, Calderón-Zygmund theory for singular integral operators, Fatou type theorems for systems of elliptic PDEs, and applications to acoustic and electromagnetic scattering. Overall, this amounts to a powerful and nuanced theory developed on uniformly rectifiable sets, which builds on the work of many predecessors.
650 0 $a Divergence theorem. $3 2012535
650 0 $a Geometric measure theory. $3 522210
650 1 4 $a Integral Transforms and Operational Calculus. $3 3538804
700 1 $a Mitrea, Irina. $3 1783655
700 1 $a Mitrea, Marius. $3 705014
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Developments in mathematics ; $v v. 774. $3 3634481
856 4 0 $u https://doi.org/10.1007/978-3-031-22735-6
950 $a Mathematics and Statistics (SpringerNature-11649)