國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Non-self-adjoint differential operat...

Sjostrand, Johannes.

Non-self-adjoint differential operators, spectral asymptotics and random perturbations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Non-self-adjoint differential operators, spectral asymptotics and random perturbationsby Johannes Sjostrand.
作者:	Sjostrand, Johannes.
出版者:	Cham :Springer International Publishing :2019.
面頁冊數:	x, 496 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Nonselfadjoint operators.
電子資源:	https://doi.org/10.1007/978-3-030-10819-9
ISBN:	9783030108199$q(electronic bk.)

Non-self-adjoint differential operators, spectral asymptotics and random perturbations
Sjostrand, Johannes.

Non-self-adjoint differential operators, spectral asymptotics and random perturbations[electronic resource] /by Johannes Sjostrand. - Cham :Springer International Publishing :2019. - x, 496 p. :ill., digital ;24 cm. - Pseudo-differential operators, theory and applications,v.142297-0355 ;. - Pseudo-differential operators, theory and applications ;v.11..

The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago. In the last decades there has been a renewed interest in non-self-adjoint differential operators which have many subtle properties such as instability under small perturbations. Quite remarkably, when adding small random perturbations to such operators, the eigenvalues tend to distribute according to Weyl's law (quite differently from the distribution for the unperturbed operators in analytic cases) A first result in this direction was obtained by M. Hager in her thesis of 2005. Since then, further general results have been obtained, which are the main subject of the present book. Additional themes from the theory of non-self-adjoint operators are also treated. The methods are very much based on microlocal analysis and especially on pseudodifferential operators. The reader will find a broad field with plenty of open problems.

ISBN: 9783030108199$q(electronic bk.)

Standard No.: 10.1007/978-3-030-10819-9doiSubjects--Topical Terms:

497837
Nonselfadjoint operators.

LC Class. No.: QA329.2 / .S586 2019

Dewey Class. No.: 515.7246

Non-self-adjoint differential operators, spectral asymptotics and random perturbations
LDR:02131nmm a2200325 a 4500 001 559017
003 DE-He213
005 20191030170946.0
006 m d
007 cr nn 008maaau
008 191219s2019 gw s 0 eng d
020 $a 9783030108199$q(electronic bk.)
020 $a 9783030108182$q(paper)
024 7 $a 10.1007/978-3-030-10819-9 $2 doi
035 $a 978-3-030-10819-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA329.2 $b .S586 2019
072 7 $a PBKD $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKD $2 thema
082 0 4 $a 515.7246 $2 23
090 $a QA329.2 $b .S625 2019
100 1 $a Sjostrand, Johannes. $3 785706
245 1 0 $a Non-self-adjoint differential operators, spectral asymptotics and random perturbations $h [electronic resource] / $c by Johannes Sjostrand.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2019.
300 $a x, 496 p. : $b ill., digital ; $c 24 cm.
490 1 $a Pseudo-differential operators, theory and applications, $x 2297-0355 ; $v v.14
520 $a The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago. In the last decades there has been a renewed interest in non-self-adjoint differential operators which have many subtle properties such as instability under small perturbations. Quite remarkably, when adding small random perturbations to such operators, the eigenvalues tend to distribute according to Weyl's law (quite differently from the distribution for the unperturbed operators in analytic cases) A first result in this direction was obtained by M. Hager in her thesis of 2005. Since then, further general results have been obtained, which are the main subject of the present book. Additional themes from the theory of non-self-adjoint operators are also treated. The methods are very much based on microlocal analysis and especially on pseudodifferential operators. The reader will find a broad field with plenty of open problems.
650 0 $a Nonselfadjoint operators. $3 497837
650 0 $a Spectral theory (Mathematics) $3 182365
650 1 4 $a Functions of a Complex Variable. $3 275780
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 276692
650 2 4 $a Ordinary Differential Equations. $3 273778
650 2 4 $a Partial Differential Equations. $3 274075
650 2 4 $a Operator Theory. $3 274795
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Pseudo-differential operators, theory and applications ; $v v.11. $3 726888
856 4 0 $u https://doi.org/10.1007/978-3-030-10819-9
950 $a Mathematics and Statistics (Springer-11649)