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 V = Fred...

Mitrea, Dorina.

FindBook

Google Book

Amazon

博客來

Geometric harmonic analysis V = Fredholm theory and finer estimates for integral operators, with applications to boundary problems /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Geometric harmonic analysis V/ by Dorina Mitrea, Irina Mitrea, Marius Mitrea.
其他題名:	Fredholm theory and finer estimates for integral operators, with applications to boundary problems /
作者:	Mitrea, Dorina.
其他作者:	Mitrea, Irina.
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	xvi, 994 p. :ill. (some col.), 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:	Geometric measure theory. -
電子資源:	https://doi.org/10.1007/978-3-031-31561-9
ISBN:	9783031315619

Geometric harmonic analysis V = Fredholm theory and finer estimates for integral operators, with applications to boundary problems /
Mitrea, Dorina.

Geometric harmonic analysis VFredholm theory and finer estimates for integral operators, with applications to boundary problems /[electronic resource] :by Dorina Mitrea, Irina Mitrea, Marius Mitrea. - Cham :Springer International Publishing :2023. - xvi, 994 p. :ill. (some col.), digital ;24 cm. - Developments in mathematics,v. 762197-795X ;. - Developments in mathematics ;v. 76..

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.The ultimate goal in Volume V is to prove well-posedness and Fredholm solvability results concerning boundary value problems for elliptic second-order homogeneous constant (complex) coefficient systems, and domains of a rather general geometric nature. The formulation of the boundary value problems treated here is optimal from a multitude of points of view, having to do with geometry, functional analysis (through the consideration of a large variety of scales of function spaces), topology, and partial differential equations.

ISBN: 9783031315619

Standard No.: 10.1007/978-3-031-31561-9doiSubjects--Topical Terms:

522210
Geometric measure theory.

LC Class. No.: QA312

Dewey Class. No.: 515.42

Geometric harmonic analysis V = Fredholm theory and finer estimates for integral operators, with applications to boundary problems /
LDR:02732nmm a2200337 a 4500 001 2334078
003 DE-He213
005 20230822052810.0
006 m d
007 cr nn 008maaau
008 240402s2023 sz s 0 eng d
020 $a 9783031315619 $q (electronic bk.)
020 $a 9783031315602 $q (paper)
024 7 $a 10.1007/978-3-031-31561-9 $2 doi
035 $a 978-3-031-31561-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA312
072 7 $a PBKL $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKL $2 thema
082 0 4 $a 515.42 $2 23
090 $a QA312 $b .M684 2023
100 1 $a Mitrea, Dorina. $3 3609206
245 1 0 $a Geometric harmonic analysis V $h [electronic resource] : $b Fredholm theory and finer estimates for integral operators, with applications to boundary problems / $c by Dorina Mitrea, Irina Mitrea, Marius Mitrea.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2023.
300 $a xvi, 994 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Developments in mathematics, $x 2197-795X ; $v v. 76
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.The ultimate goal in Volume V is to prove well-posedness and Fredholm solvability results concerning boundary value problems for elliptic second-order homogeneous constant (complex) coefficient systems, and domains of a rather general geometric nature. The formulation of the boundary value problems treated here is optimal from a multitude of points of view, having to do with geometry, functional analysis (through the consideration of a large variety of scales of function spaces), topology, and partial differential equations.
650 0 $a Geometric measure theory. $3 522210
650 0 $a Divergence theorem. $3 2012535
650 0 $a Boundary layer. $3 634289
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. 76. $3 3665372
856 4 0 $u https://doi.org/10.1007/978-3-031-31561-9
950 $a Mathematics and Statistics (SpringerNature-11649)